Question

number of odd divisors of 252​

Answer 1

$Given \:number = 252$

$Resolve \: 252 \:into \: product \:of \:prime \\we \:get$

2| 252

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2 | 126

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3| 63

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3| 21

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**** 7

$252 = 2^{2} \times 3^{2} \times 7^{1}$

$Number \:of \: Odd \:divisors \:of \:252 \\= product \: of \:one \:more\:of \: each\:exponent \\ odd\: prime \\= (2+1)(1+1) \\= 3 \times 2 \\= 6$

Therefore.,

$\red {Number \:of \: Odd \:divisors \:of \:252}\green {= 6}$

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