Question

What is the prime factorization of 126012601260?
Enter your answer as a product of prime numbers, like 2\times 32×32, times, 3, or as a single prime number, like 171717.​

Answer 1

Answer:

There will be 3 consecutive zeroes in N.

Step-by-step explanation:

Given : If the prime factorization of a natural number N is 2^4\times3^4\times5^3\times72

4

×3

4

×5

3

×7

To find : Write the number of consecutive zeros in N?

Solution :

Prime factorization of a natural number N is

2^4\times3^4\times5^3\times72

4

×3

4

×5

3

×7

The consecutive zeros are the power of multiple of 2 and 5

3^4\times7\times2(2^3\times5^3)3

4

×7×2(2

3

×5

3

)

3^4\times7\times2\times 10^33

4

×7×2×10

3

So, There will be 3 consecutive zeroes in N.

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