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Question

What is the difference between the number of factor pair for 64 and 48?

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is B 3
Let us write the factor pairs for 64.
64 = 1 × 64
64 = 2 × 32
​​​​​​​64 = 4 × 16
​​​​​​​64 = 8 × 8
​​​​​​​64 = 16 × 4
​​​​​​​64 = 32 × 2
​​​​​​​64 = 64 × 1
So, 64 has 7 factor pairs.

Let us write the factor pairs for 48.
​​​​​​​48 = 1 × 48
​48 = 2 × 24
​48 = 3 × 16
​48 = 4 × 12
​48 = 6 × 8
​48 = 8 × 6
​48 = 12 × 4
​48 = 16 × 3
​48 = 24 × 2
​48 = 48 × 1
So, 48 has 10 factor pairs.

​​​​​​​The difference between the number of factors pairs for 64 and 48 = 10 - 7 = 3

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