How many factors of 24000 are odd numbers? Options: A . &nbsp32 B . &nbsp7 C . &nbsp16 D . &nbspnone of these

How many factors of 24000 are odd numbers?

Question

How many factors of 24000 are odd numbers?

Options:

A . 32

B . 7

C . 16

D . none of these

Answer: Option D
:
D
Answer=option d
Prime factorize

24000 = 2^{6} \times 3 \times 5^{3}

Take out

2^{6}

and then find the number of factors. This will give all the odd factors
In this case, number of factors

= (3 + 1) \times (1 + 1) = 4 \times 2 = 8

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