Q: What are the prime factors of the number 35,663,536?

 A: 2, 2228971

Why are those the prime factors of the number 35,663,536?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 35,663,536

35,663,536
Factor Arrows
217,831,768
Factor Arrows
28,915,884
Factor Arrows
24,457,942
Factor Arrows
22,228,971

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 2228971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2,228,971 = 35,663,536

This can also be written as 24 x 2,228,9711 = 35,663,536

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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