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Multiplication chart 1 to 300: rows 1 to 20, columns 1 to 20
Name Date
Multiplication chart 1 to 300. Each square holds its row number times its column number.
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1
2
3
4
5
6
7
8
9
10
11
12
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1
1
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20
2
2
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32
34
36
38
40
3
3
6
9
12
15
18
21
24
27
30
33
36
39
42
45
48
51
54
57
60
4
4
8
12
16
20
24
28
32
36
40
44
48
52
56
60
64
68
72
76
80
5
5
10
15
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25
30
35
40
45
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55
60
65
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75
80
85
90
95
100
6
6
12
18
24
30
36
42
48
54
60
66
72
78
84
90
96
102
108
114
120
7
7
14
21
28
35
42
49
56
63
70
77
84
91
98
105
112
119
126
133
140
8
8
16
24
32
40
48
56
64
72
80
88
96
104
112
120
128
136
144
152
160
9
9
18
27
36
45
54
63
72
81
90
99
108
117
126
135
144
153
162
171
180
10
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
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11
11
22
33
44
55
66
77
88
99
110
121
132
143
154
165
176
187
198
209
220
12
12
24
36
48
60
72
84
96
108
120
132
144
156
168
180
192
204
216
228
240
13
13
26
39
52
65
78
91
104
117
130
143
156
169
182
195
208
221
234
247
260
14
14
28
42
56
70
84
98
112
126
140
154
168
182
196
210
224
238
252
266
280
15
15
30
45
60
75
90
105
120
135
150
165
180
195
210
225
240
255
270
285
300
16
16
32
48
64
80
96
112
128
144
160
176
192
208
224
240
256
272
288
304
320
17
17
34
51
68
85
102
119
136
153
170
187
204
221
238
255
272
289
306
323
340
18
18
36
54
72
90
108
126
144
162
180
198
216
234
252
270
288
306
324
342
360
19
19
38
57
76
95
114
133
152
171
190
209
228
247
266
285
304
323
342
361
380
20
20
40
60
80
100
120
140
160
180
200
220
240
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280
300
320
340
360
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400
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For a PDF, press Print, then save as PDF in the print window.Print this part gives the squares in view. Print 25 pages gives rows 1 to 100, columns 1 to 100.
Facts worth finding on the multiplication chart 1-300
Multiplication chart 1 to 300: rows 1 to 20, columns 1 to 20. Shown 20 by 20 at a time.
On this multiplication chart 1-300, rows and columns run from 1 to 300, which makes 90,000 squares. You see one block of 20 by 20, starting at rows 1 to 20. Type 284 and 220 into Find and press Go.
Read the full guide
The 1-300 chart in numbers
Its 90,000 squares hold 24,047 different answers. The answers 2520 and 5040 lead with 32 squares each, since so many small numbers divide them. Only 157 answers turn up once, such as 293 × 293 = 85,849. The list All 40 facts, further down, has more, such as 297 × 210, the A4 sheet.
Getting around 225 blocks
The chart is cut into 225 blocks, 15 across and 15 down. The arrows step one block and say where they lead; past an edge they come round to the other side. Print this part sends the block on screen. Print 25 pages sends a band, such as rows 201 to 300 by columns 201 to 300.
Row 300 is the 3 times table with two zeros added: 300 × 7 = 2100.
The whole chart would print as 225 pages, 9 runs of Print 25 pages. Print the band you teach from.
Questions and answers
Does a multiplication chart to 300 mean rows or answers?
Rows and columns here, so answers run to 90,000. Answers of 300 or less fill 1,767 squares, each with a factor of 17 or less, since 18 × 18 = 324. The 1-17 chart ends nearest, at 289.
How many squares are on a 1-300 chart?
90,000: 300 rows of 300. Most answers repeat, since 12 × 25, 15 × 20 and 300 × 1 all make 300. Count a fact and its turnaround once and the chart has 45,150 facts.
Can I print a 300 by 300 chart on one page?
Not at a readable size. With 300 columns across a Letter or A4 page, even turned sideways, each square would be under a millimeter wide. So Print this part sends one 20 by 20 block, and hidden answers get a key on a second page.
Does the chart include the 300 times table?
Yes, twice. Row 300 and column 300 both hold it, from 300 × 1 = 300 to 300 × 300 = 90,000. Type 300 and 1 into Find to reach its first 20 answers.
All 40 facts
Corners and last rows 6
299 × 7 = 2093299 is 1 short of 300, and there are 7 of them. Start from 300 × 7 = 2100 and take away one 7.
300 × 1 = 300Row 300 starts here, in column 1. The answer 300 sits in 18 squares, one for each number that divides it, and every one of them is in the first 15 rows or the first 15 columns.
300 × 7 = 2100Row 300 has a shortcut: multiply the column number by 3 and write two zeros after it. 3 × 7 = 21, so the answer is 2100.
300 × 150 = 45,000150 is half of 300, so this answer is half of the last corner, 300 × 300 = 90,000.
300 × 299 = 89,700The square just left of the last corner holds the second largest answer on the chart. The next one down, 299 × 299 = 89,401, is smaller.
300 × 300 = 90,000The last square of the chart, bottom right. A printer working at 300 dots per inch lays 300 rows of 300 dots in each square inch: 90,000 dots.
Show all 40 facts (34 more)
Squares on the diagonal 7
201 × 201 = 40,401The first square number past the 1-200 chart. Read the answer in three parts: 40,000 from 200 × 200, then 400 from two more 200s, then 1.
202 × 202 = 40,804This answer reads the same forward and backward. Three square numbers from row 201 to row 300 do: this one, 212 × 212 = 44,944 and 264 × 264 = 69,696.
216 × 216 = 46,656Six 6s multiplied together make 46,656, because 216 is 6 × 6 × 6.
250 × 250 = 62,500A square tile 250 mm on each side covers 62,500 square millimeters. 250 mm is a quarter of a meter, so the tile is one sixteenth of a square meter.
256 × 256 = 65,536One byte of computer memory can hold 256 different values. Two bytes together can hold 256 × 256 of them, which is 65,536.
264 × 264 = 69,696The largest square number on the chart that reads the same both ways. It is written with only 6s and 9s.
275 × 275 = 75,625A number ending in 5 squares quickly. Multiply 27 by the next number, 28, to get 756, then write 25 after it.
Round answers and shortcuts 6
204 × 5 = 1020To multiply by 5, halve the number and write a zero after it. Half of 204 is 102.
225 × 16 = 3600The same answer as 60 × 60. 225 is 15 × 15 and 16 is 4 × 4, and 15 × 4 = 60.
248 × 25 = 6200To multiply by 25, take a quarter of the number and write two zeros after it. A quarter of 248 is 62.
250 × 4 = 1000Four 250s make 1000, which is why a quarter of a kilometer is 250 meters.
288 × 125 = 36,000125 is one eighth of 1000. One eighth of 288 is 36, so the answer is 36 thousands.
300 × 200 = 60,0003 × 2 = 6. Each factor brings two zeros, so write four zeros after the 6.
Number patterns 7
210 × 11 = 23102310 is 2 × 3 × 5 × 7 × 11, the first five prime numbers multiplied together.
233 × 144 = 33,552144 and 233 are neighbors in the Fibonacci sequence, in which every number adds up the two before it: 55, 89, 144, 233.
259 × 39 = 10,101Ones and zeros taking turns. 259 is 7 × 37 and 39 is 3 × 13. Pair them the other way, 3 × 37 = 111 and 7 × 13 = 91, and 111 × 91 gives the same 10,101.
271 × 41 = 11,111Five 1s in a row. 41 and 271 are both prime, so no other pair on the chart makes 11,111. It sits in just 2 squares: this one and its turnaround.
283 × 281 = 79,523281 and 283 are twin primes, two primes only 2 apart, and the last such pair on the chart. Their answer is 1 less than 282 × 282 = 79,524.
284 × 220 = 62,480220 and 284 are the smallest amicable pair of numbers. Add up every number that divides 220, leaving out 220 itself, and you get 284. Do the same for 284 and you get 220.
297 × 297 = 88,209Split the answer into 88 and 209 and add them. You are back at 297.
Common and rare answers 4
240 × 1 = 240The answer 240 sits in 20 squares, one for each number that divides it. No other answer up to 300 sits in as many.
252 × 10 = 2520Every number from 1 to 10 divides 2520 exactly, and no smaller number can say that. On this chart it shares first place as the most common answer: 32 squares.
280 × 18 = 50405040 is twice 2520, and the two tie as the most common answers on the chart, 32 squares each. No other answer sits in more than 30.
293 × 293 = 85,849293 is the largest prime number on the chart, so no other pair on the chart makes 85,849. It is one of 157 answers that sit in exactly 1 square.
Paper, land, film and turns 10
210 × 148 = 31,080Fold a sheet of A4 paper in half and each half is A5, 148 mm by 210 mm. One A5 page covers 31,080 square millimeters.
220 × 8 = 1760Eight furlongs of 220 yards each make a mile: 1760 yards.
220 × 22 = 4840An acre was traditionally a strip of land one furlong long and one chain wide. That is 220 yards by 22 yards, or 4840 square yards.
231 × 5 = 1155A US gallon is defined as 231 cubic inches, so a 5 gallon bucket holds 1155 cubic inches.
240 × 6 = 1440Movies are usually shot at 24 frames a second, so ten seconds is 240 frames. A minute is six lots of ten seconds: 1440 frames.
270 × 4 = 1080Three quarters of a full turn is 270 degrees. Four of those make 1080 degrees, which is exactly 3 full turns.
288 × 6 = 172812 × 12 × 12 = 1728, the cubic inches in a cubic foot. 288 is 2 × 144, so 288 × 6 is the same as 144 × 12.
297 × 210 = 62,370A sheet of A4 paper is 210 mm by 297 mm, so it covers 62,370 square millimeters. That is just under one sixteenth of a square meter, which is 62,500.
300 × 5 = 1500Five lots of 300 meters make the 1500 meter race. On a 400 meter track that is 3 full laps and 300 meters more.
300 × 12 = 3600Five minutes is 300 seconds, and an hour holds 12 lots of five minutes, so an hour is 3600 seconds.