Q: What are the prime factors of the number 36,776,675?

 A: 5, 13, 113159

Why are those the prime factors of the number 36,776,675?

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 36,776,675

36,776,675
Factor Arrows
57,355,335
Factor Arrows
51,471,067
Factor Arrows
13113,159

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:

5, 13, 113159

We can check our work by multiplying all of the prime factors together: 5 x 5 x 13 x 113,159 = 36,776,675

This can also be written as 52 x 131 x 113,1591 = 36,776,675

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


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