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Question

Sort the following numbers based on number of factors from least to greatest from top to bottom.

A
25
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B
37
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C
12
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D
14
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Solution

25=5×5
= 25×1

So, number of factors of 25 are 3.
i.e., 1 , 5 and 25

37=37×1
So, number of factors of 37 are 2 and they are 1 and 37.

12=2×6
= 4×3
= 12×1
So, number of factors of 12 are 6 and they are 1,2, 3,4,6 and 12.

14=2×7
= 14×1
So, number of factors of 14 are 4 and they are 1,2,7 and 14.

Hence, the order of number of factor will be

37< 25< 14< 12

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