Question

Find the number of non-prime factors of 4^10 x 7^3 x 5^9.​

Answer 1

Answer:

2^5*3^7*3^4*11^4*13^3

2^5*3^11*11^4*13^3

Number of factors: (5+1)(11+1)(4+1)(3+1)=6*12*5*4=1440

The only prime factors are 2, 3, 11, and 13. All other factors are not prime.

Therefore, there are 1440–4 = 1436 non prime factors.

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