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Question

The total number of factors of 225 is:

A
15
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B
3
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C
9
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D
21
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Solution

The correct option is C 9
Prime factorisation of 225:
225 = 3 × 3 × 5 × 5
In the exponent form:
225=32×52
Add 1 to each of the exponents, 2 and 2, here.
Then, 2 + 1 = 3, 2 + 1 = 3.
Multiplying them, 3 × 3 = 9.
So, there are 9 factors in total for 225.

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