Q: What are the prime factors of the number 37,863,768?

 A: 2, 3, 1577657

Why are those the prime factors of the number 37,863,768?

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 37,863,768

37,863,768
Factor Arrows
218,931,884
Factor Arrows
29,465,942
Factor Arrows
24,732,971
Factor Arrows
31,577,657

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, 1577657

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 1,577,657 = 37,863,768

This can also be written as 23 x 31 x 1,577,6571 = 37,863,768

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


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