Q: What are the prime factors of the number 37,658,412?

 A: 2, 3, 11, 31699

Why are those the prime factors of the number 37,658,412?

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 37,658,412

37,658,412
Factor Arrows
218,829,206
Factor Arrows
29,414,603
Factor Arrows
33,138,201
Factor Arrows
31,046,067
Factor Arrows
3348,689
Factor Arrows
1131,699

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, 3, 11, 31699

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 31,699 = 37,658,412

This can also be written as 22 x 33 x 111 x 31,6991 = 37,658,412

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


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