Finding Factors Using the Factor Pair Method

What is a factor? Choose the best definition.

• • A number that you multiply

    Explanation: This means a number you use in multiplication, but a factor is more about dividing.

• • A number that divides evenly into another number with no remainder

    Explanation: Correct! A factor is a number you can divide into another number without anything left over.

• • A number that you add to another number

    Explanation: This is called an addend, not a factor.

• • A number that is always bigger than the original number

    Explanation: This is not true. Factors can be smaller, the same, or sometimes bigger than the number.

Answer explanation

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CCSS.4.OA.B.4

Every number has at least how many factors?

Answer Explanation: Every number has at least two factors: 1 and the number itself. For example, the number 5 has factors 1 and 5. This is true for all natural numbers.

• 1

• 2

• 3

• 4

Tags

CCSS.4.OA.B.4

Which of these is a factor pair of 12?

Explanation: A factor pair is two numbers that you can multiply together to get 12. For example, 3 and 4 are a factor pair because 3 x 4 = 12. Try to find the pair that makes 12 when you multiply them.

• (2,5)

• (3,4)

• (1,11)

• (2,7)

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CCSS.4.OA.B.4

When finding factors using the pairing method, what number do we always start with?

• The number itself

• 0

• 1

• 2

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CCSS.4.OA.B.4

Is 4 a factor of 18?

Explanation: A factor is a number that divides another number evenly, with no remainder. If you divide 18 by 4, you get 4 with a remainder of 2. Since there is a remainder, 4 is not a factor of 18.

• Yes

• No

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CCSS.4.OA.B.4

What are ALL the factors of 8?

Answer Explanation: A factor is a number that you can multiply by another number to get 8. The factors of 8 are 1, 2, 4, and 8 because 1 × 8 = 8 and 2 × 4 = 8. These are all the numbers that can be multiplied in pairs to make 8.

• 1,2,4,8

• 1,2,8

• 2,4,8

• 1,4,8

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CCSS.4.OA.B.4

When using the pairing method, when do we stop looking for factors?

Explanation: We use the pairing method to find all the factors of a number. We stop when the factor pairs start to repeat, because that means we have found them all.

• When we reach 10

• When we get tired

• When the factor pairs start repeating

• When we find 5 factors

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CCSS.4.OA.B.4

How many factors does 16 have?

Answer Explanation: A factor is a number that you can multiply by another number to get 16. The factors of 16 are 1, 2, 4, 8, and 16. So, there are 5 factors in total.

• 3

• 4

• 5

• 6

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CCSS.4.OA.B.4

Which of these numbers has exactly 3 factors?

Hint: A number with exactly 3 factors is a special kind of number. Think about how many ways you can multiply numbers to get each answer.

Answer Explanation: The number 9 has exactly 3 factors: 1, 3, and 9. This is because 9 is 3 times 3, and 3 is a prime number. The other numbers have more than 3 factors.

• 6

• 8

• 9

• 12

Tags

CCSS.4.OA.B.4

What is the largest factor of any number?

Explanation: The largest factor of any number is the number itself. This is because when you divide a number by itself, you always get 1, and every number can be divided by itself with no remainder.

• 10

• 100

• The number itself

• There is no largest factor

Tags

CCSS.4.OA.B.4