Missing Factor Multiplication Worksheets With the Blank in Any Place

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Sheet type

Problems

Answer key

30 problems. Missing factor in either place. Sheet 1LUPFR, with its answer key.

Missing factor in either place

Name Date Score / 30

Write the missing number.

1._____ × 8 = 40
2._____ × 5 = 25
3.3 × _____ = 6
4._____ × 8 = 56
5.9 × _____ = 18
6.10 × _____ = 20
7.2 × _____ = 18
8._____ × 9 = 72
9.10 × _____ = 90
10.9 × _____ = 27
11.4 × _____ = 24
12.4 × _____ = 36
13._____ × 3 = 21
14._____ × 7 = 28
15._____ × 10 = 60
16._____ × 8 = 16
17._____ × 10 = 30
18._____ × 4 = 28
19.7 × _____ = 49
20.8 × _____ = 32
21._____ × 9 = 45
22.5 × _____ = 30
23._____ × 5 = 30
24._____ × 4 = 12
25._____ × 10 = 40
26.6 × _____ = 36
27._____ × 8 = 64
28.8 × _____ = 56
29._____ × 4 = 36
30.3 × _____ = 9

Sheet 1LUPFR · Made at homeroomtools.com

Answer key. Missing factor in either place

1.5 × 8 = 40
2.5 × 5 = 25
3.3 × 2 = 6
4.7 × 8 = 56
5.9 × 2 = 18
6.10 × 2 = 20
7.2 × 9 = 18
8.8 × 9 = 72
9.10 × 9 = 90
10.9 × 3 = 27
11.4 × 6 = 24
12.4 × 9 = 36
13.7 × 3 = 21
14.4 × 7 = 28
15.6 × 10 = 60
16.2 × 8 = 16
17.3 × 10 = 30
18.7 × 4 = 28
19.7 × 7 = 49
20.8 × 4 = 32
21.5 × 9 = 45
22.5 × 6 = 30
23.6 × 5 = 30
24.3 × 4 = 12
25.4 × 10 = 40
26.6 × 6 = 36
27.8 × 8 = 64
28.8 × 7 = 56
29.9 × 4 = 36
30.3 × 3 = 9

Sheet 1LUPFR · Made at homeroomtools.com

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How it works

Free missing factor multiplication worksheets put the blank where you want it: 8 × ___ = 72, ___ × 7 = 56, or a different place each line. The answer key fills in every blank on its own page.

Read the full guide

A missing factor is a division question

8 × ___ = 72 and 72 ÷ 8 = ___ ask the same thing. Common Core standard 3.OA.6 has pupils find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8. Its glossary sorts the blanks by meaning. In 3 × ___ = 18 the size of each group is unknown. In ___ × 6 = 18 it is the number of groups.

What the sheets leave out

No sheet prints 0 × ___ = 0, because every number fits the blank and no key could mark it. The fact sheets leave out a factor of 1 as well, so the smallest factor is 2.

Set Missing second factor first and Missing first factor next. The facts are the same and only the reading changes.

Questions and answers

What is a missing factor in multiplication?

Factors are the numbers being multiplied, and the product is the result. In 6 × ___ = 42 the product and one factor are given, and the missing factor is 7. Common Core 3.OA.4 calls this determining the unknown whole number in a multiplication equation.

How do you find a missing factor?

Divide the product by the factor you know, or count up in that factor. For 7 × ___ = 56, recall 56 ÷ 7 = 8, or count 7, 14, 21 and on to 56. Then multiply back: 7 × 8 = 56.

Which grade are missing factor sheets for?

Mostly grade 3. Common Core 3.OA.4 and Texas 3.5(D), which names a missing factor or product, both sit there. Missing factor with multiples of 10 fits 3.NBT.3, and Missing 10 or 100 fits 4.NBT.1 in grade 4.

All 10 sheet types

Where the blank sits 4

Factor or product missing Any one of the three numbers can be blank: 7 × 6 = ___, 7 × ___ = 42, ___ × 6 = 42. Texas 3.5(D) words the skill this way, the unknown is either a missing factor or product, and Common Core 3.OA.4 gives 8 × ? = 48 and 6 × 6 = ? among its examples. The plain facts mixed in keep the page moving.
Missing factor in either place The blank changes sides from line to line: 6 × ___ = 42, then ___ × 9 = 36. The blanks take 7 and 4. Nobody fills this page by chanting one table, because each line has to be read first. The page opens here with 30 problems and factors from 2 to 10, inside the grade 3 range of the Common Core (within 100) and of Texas (up to 10 by 10).
Missing first factor ___ × 7 = 56. Read as groups of 7, the blank is how many groups, the question Table 2 of the Common Core glossary calls number of groups unknown. A pupil who knows that 7 × 8 and 8 × 7 match finds it no harder than the sheet before. The blank takes 8.
Missing second factor 8 × ___ = 72. The known factor comes first, so a pupil can count up in eights and keep a tally until 72 arrives: 9. This is the easier position and the place to begin. 30 problems, both factors from 2 to 10.

Show all 10 sheet types (6 more)

One set of tables at a time 4

Missing factors in the 2, 5 and 10 tables One factor is always 2, 5 or 10 and the other runs from 2 to 10: 5 × ___ = 35, 2 × ___ = 18, 10 × ___ = 60. The blanks take 7, 9 and 6. Every answer can be found by skip counting, so this is the sheet for the first week of missing factors.
Missing factors in the 3, 4 and 6 tables 3 × ___ = 27, 4 × ___ = 32 and 6 × ___ = 54, with blanks of 9, 8 and 9. Skip counting gets slow here, so pupils begin to lean on facts they know. One check worth teaching: the 6s are double the 3s, so if 3 × 9 = 27 then 6 × 9 = 54.
Missing factors in the 7, 8 and 9 tables 7 × ___ = 63, 8 × ___ = 56 and 9 × ___ = 72, with blanks of 9, 7 and 8. Products such as 56, 63 and 72 can be made in only one way from factors of 2 to 10, so once a pupil ties 56 to 7 and 8, both of its missing factor questions are answered.
Missing factors with 11 and 12 12 × ___ = 108 and 11 × ___ = 132, with blanks of 9 and 12. Texas stops grade 3 facts at 10 by 10 and the Common Core asks for products of one-digit numbers from memory, so this sheet is for classes whose charts and drills run on to 12 × 12. One factor is 11 or 12 and the other runs from 2 to 12.

Tens and hundreds 2

Missing 10 or 100 46 × ___ = 4,600 and ___ × 10 = 730. The blanks take 100 and 73. Pupils count how many places the digits moved, the idea behind standard 4.NBT.1: a digit is worth ten times what it is worth one place to its right. Texas 4.4(B) asks for products of a number and 10 or 100.
Missing factor with multiples of 10 6 × ___ = 420 and ___ × 40 = 280. Cover the zeros and the facts are 6 × 7 = 42 and 7 × 4 = 28, so the blanks take 70 and 7. The slip to watch for is 7 written where 70 belongs. Standard 3.NBT.3 sets one-digit numbers times multiples of 10 from 10 to 90.

How this list was compiled: Sheet types, story wording and worked examples are own work. Every worked example was computed twice by script on 2026-09-19. Standard numbers and wording checked 2026-09-19 against the full text of the Common Core State Standards for Mathematics (national copy, https://learning.ccsso.org/wp-content/uploads/2022/11/ADA-Compliant-Math-Standards.pdf, read again 2026-09-20: 3.OA.3, 3.OA.4 with its examples 8 × ? = 48, 5 = □ ÷ 3 and 6 × 6 = ?, 3.OA.5, 3.OA.6, 3.OA.7, 3.OA.8, 3.NBT.3, 4.OA.4, 4.NBT.1, 4.NBT.6, 6.EE.7, the glossary's Table 2 'Common multiplication and division situations' with its columns unknown product, group size unknown and number of groups unknown, and footnote 4 to the glossary's Table 1 on what the = sign means) and the Texas Essential Knowledge and Skills for Mathematics, 19 TAC chapter 111 subchapter A (https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111a.pdf: 3.4(F), 3.4(J), 3.4(K), 3.5(B), 3.5(D), 3.5(E), 4.4(B), 4.4(C), 4.4(F), 4.5(A), 5.4(B), 5.4(D)). Fix pass 2026-09-20: the sheet Division facts for the same tables was removed because it was the same plain division facts sheet as Division facts within 100 on the grade 3 page; 3.OA.4, 3.OA.6, the glossary's Table 2 and Texas 3.5(D) were read again that day. Licence: own work