Question

Q.4: how many factors of 24 * 53 * 74 are odd numbers?

Answer 1

Answer: c.20 .

This is your questions . I think

Answer 2

Answer:

20 factors of  $2^4\times 5^3\times 7^4$ are odd numbers.

Step-by-step explanation:

Given : Expression $2^4\times 5^3\times 7^4$

To find : How many factors of expression are odd numbers?

Solution :

Expression $2^4\times 5^3\times 7^4$

Any factor of this number should be of the form $2^a\times 5^b\times 7^c$

For the factor to be an odd number a should be zero.

So, b can take any value 0,1,2,3 i.e. 4

and c can take any value 0,1,2,3,4 i.e. 5

The total number of odd factors is

$n=4\times 5$

$n=20$

Therefore, 20 factors of  $2^4\times 5^3\times 7^4$ are odd numbers.