In how many ways the number 7056 can be ...

In how many ways the number 7056 can be resolved as a product of 2 factors.

Verified by Experts

The correct Answer is:

23

`7056=2^(4)xx3^(2)xx7^(2)`
Number of divisors `=(4+1)(2+1)(2+1)=5xx3xx3=45`
Number of ways of resolving into 2 factors `=(45+1)/(2)=23`

Similar Questions

Explore conceptually related problems

Find the number of ways in which the number 94864 can be resolved as a product of two factors.

In how many ways can 6 men be seated at a round table ?

In how many ways can 6 boys form a ring ?

Find the number of ways in which the number 300300 can be split into two factors which are relatively prime.

In how many ways three letters a,b,c can be arranged without repetition ?

In how many ways can 6 persons stand in a queue?

In how many ways three girls and nine boys can be seated in two vans , each having numbered seats , 3 in the front and 4 at the back .

In how many ways 3 boys and 5 girls can be arranged in a row so that all the 3 boys are together ?

In how many different ways can the four subjects be arranged in 5 periods of a class ?

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together ?