Lesson Worksheet: Factors Mathematics • 4th Grade

In this worksheet, we will practice finding positive factors of whole numbers using multiplication and division.

Q1:

Matthew is finding factor pairs of 42. Which number is missing from the table?

Factors of 42
142
221
3
67

Q2:

Which two of these numbers are factors of 46?

  • A7 and 92
  • B3 and 46
  • C3 and 7
  • D3 and 92
  • E2 and 46

Q3:

Is 6 a factor of 24?

  • AYes
  • BNo

Q4:

Is 3 a factor of 43?

  • AYes
  • BNo

Q5:

Find all the factors of 49.

  • A9 and 40
  • B20 and 29
  • C1, 9, 40, and 49
  • D1, 3, 7, 9, 40, and 49
  • E1, 7, and 49

Q6:

Which of these is NOT a factor pair for 36?

  • A2 and 17
  • B6 (repeated factor)
  • C4 and 9
  • D1 and 36
  • E3 and 12

Q7:

Scarlett is learning how to find factor pairs for numbers. These are pairs of factors with a given product.

She makes arrays from 15 blocks to find the factors of 15.

She sees that 1 and 15 are a factor pair, because their product is 15. What is another factor pair for 15?

  • A5 and 10
  • B2 and 7
  • C9 and 6
  • D7 and 8
  • E3 and 5

Q8:

Emma is drawing factor rainbows to show all the factor pairs for 20. She writes the factors in order from smallest to largest and draws an arc between each two factors in a pair.

The green arc shows that 2 and 10 are a factor pair, since 2×10=20.

Now it is your turn. Which of the following is a factor rainbow showing all the factor pairs of 24?

  • A
  • B
  • C
  • D
  • E

Q9:

Jackson is finding factor pairs of 45. He has drawn a factor rainbow. The factors are written from smallest to greatest and then the factor pairs are joined up.

Which two numbers are missing?

  • A7 and 9
  • B5 and 7
  • C20 and 25
  • D5 and 9
  • E5 and 40

Q10:

Matthew is making arrays with 20 counters to help him find factor pairs for 20.

He thinks that he has found all possible arrays. Can you find another?

  • A
  • B
  • C

Practice Means Progress

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