Find the number of odd and even divisors of 600

Question

Toppr Admin · Accepted Answer

600-2-xD7-3-xD7-2-xD7-2-xD7-5-xD7-5-23-xD7-31-xD7-52Number of divisors-3-1-1-1-2-1-4-xD7-2-xD7-3-24Number of odd divisors-1-1-2-1-2-xD7-3-6Number of even divisors-24-x2212-6-18

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

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

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 $= 24 - 6 = 18$

Find the number of odd and even divisors of 600

600=2×3×2×2×5×5=23×31×52Number of divisors=(3+1)(1+1)(2+1)=4×2×3=24Number of odd divisors=(1+1)(2+1)=2×3=6Number of even divisors=24−6=18

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

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

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 $= 24 - 6 = 18$