Question

Find the number of non-prime factors of 2^10 x 7^3 x 5^9​

Answer 1

Answer:

Given

N=2

5

×3

7

×9

2

×11

4

×13

3

It can also be written as

N=2

5

×3

11

××11

4

×13

3

To calculate total number of factors adding 1 to each exponent and multiplying, we get

Total number of factors=6×12×5×4=1440

Number of prime factors=4

So,

Number of non-prime factors=1440−4=1436

Therefore total number of non prime factors are 1436.

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