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Worksheet: Factors of Whole Numbers

Q1:

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

Factors of 42
1 42
2 21
3
6 7

Q2:

Which two of these numbers are factors of 46?

  • A 3 and 7
  • B 3 and 92
  • C 7 and 92
  • D 2 and 46
  • E3 and 46

Q3:

What is the largest factor of 24?

Q4:

Find all the factors of 49.

  • A 1, 9, 40, and 49
  • B 9 and 40
  • C 1, 3, 7, 9, 40, and 49
  • D 1, 7, and 49
  • E20 and 29

Q5:

David 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?

  • A 7 and 9
  • B 5 and 7
  • C 20 and 25
  • D 5 and 9
  • E5 and 40

Q6:

Virginia 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 .

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

Q7:

We know that 3 × 6 = 1 8 . Pick the true statement.

  • A 18 is a factor of 3.
  • B 6 is a multiple of 18.
  • C 18 is a factor of 6.
  • D 3 is a factor of 18.
  • E3 is a multiple of 18.

Q8:

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?

  • A 5 and 10
  • B 7 and 8
  • C 9 and 6
  • D 3 and 5
  • E2 and 7

Q9:

Are all factors of 9 also factors of 18?

  • A yes
  • B no

Q10:

Which of these is NOT a factor pair for 36?

  • A 3 and 12
  • B 1 and 36
  • C 4 and 9
  • D 2 and 17
  • E6 (repeated factor)

Q11:

Jennifer has 112 identical flowers that she wants to plant in rows in her flower bed. If every row must have the same number of flowers, how many different ways can she plant the flowers?

Q12:

Hannah has 56 identical flowers that she wants to plant in rows in her flower bed. If every row must have the same number of flowers, how many different ways can she plant the flowers?

Q13:

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

Q14:

Is 6 a factor of 24?

  • A yes
  • B no

Q15:

Which number is a factor of 14?

Q16:

Chloe is finding factor pairs of 60. She has drawn a factor rainbow. The factors are written from smallest to greatest and then the factor pairs are joined up.

What number is missing?

Q17:

What is a factor of a number?

  • A any product of that number and a whole number
  • B any number that divides it with a remainder
  • C any number that is taken away from the whole number
  • D any whole number that divides exactly into it with no remainder
  • Ethe total amount of that number and a whole number

Q18:

Which of the following is a valid way to divide 30 players into equal groups, and then share 180 game tokens equally between the groups?

  • A5 groups of 6 players each with 30 tokens per group.
  • B2 groups of 15 players each with 36 tokens per group.
  • C2 groups of 15 players each with 30 tokens per group.
  • D2 groups of 15 players each with 90 tokens per group.
  • E15 groups of 2 players each with 90 tokens per group.

Q19:

Is 3 a factor of 43?

  • A no
  • B yes

Q20:

What are the factors of the number 43?

  • A2, 44
  • B2, 41
  • C1, 45
  • D1, 43

Q21:

Fill in the blank: 5 is a of 50.

  • A factor
  • B multiple

Q22:

What number is a factor of all whole numbers?

Q23:

The measure of the area of a room’s floor is 143 area units. Which of the following dimensions can be the length and width of the room?

  • A15 length units, 7 length units
  • B14 length units, 9 length units
  • C12 length units, 5 length units
  • D13 length units, 11 length units
  • E11 length units, 3 length units

Q24:

I am thinking of a number between 1 and 100. Use the clues to discover the number.

  • It has exactly three positive factors.
  • It is more than 30.
  • It is less than 60.

Q25:

27 has four factors. What are they?

  • A 1, 7, 20, and 27
  • B 3, 9, 18, and 24
  • C 4, 7, 20, and 23
  • D 1, 3, 9, and 27
  • E0, 9, 18, and 27