Question

How many factors of 2 power 5 into 3 power 6 into 5 power 2 a perfect square?

Answer 1

Answer:

Step-by-step explanation:

For perfect square, the power of each should be even.

Factor of 2^5 (that are perfect square)= 2^0, 2^2, 2^4; No. of factors = 3

Factor of 3^6 (that are perfect square)= 3^0, 3^2, 3^4, 3^6; No. of factors =4

Factor of 5^2 (that are perfect square)= 5^0, 5^2; No. of factors =2

Any combination of above factors when multiplied together will result in a perfect square.

Total No. of combination = 3*4*2 =24