Find the number of odd and even divisors of $600$

Question

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Answer 1

$600 = 2 \times 3 \times 2 \times 2 \times 5 \times 5 = 2^{3} \times 3^{1} \times 5^{2}$

Number of divisors $= (3 + 1) (1 + 1) (2 + 1) = 4 \times 2 \times 3 = 24$

Number of odd divisors $= (1 + 1) (2 + 1) = 2 \times 3 = 6$

Number of even divisors $= 24 - 6 = 18$

Answer 2

600 = 2 \times 3 \times 2 \times 2 \times 5 \times 5 = 2^{3} \times 3^{1} \times 5^{2}

Number of divisors

= (3 + 1) (1 + 1) (2 + 1) = 4 \times 2 \times 3 = 24

Number of odd divisors

= (1 + 1) (2 + 1) = 2 \times 3 = 6

Number of even divisors

= 24 - 6 = 18