Q: What are the prime factors of the number 3,700,190?

 A: 2, 5, 13, 28463

Why are those the prime factors of the number 3,700,190?

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 3,700,190

3,700,190
Factor Arrows
21,850,095
Factor Arrows
5370,019
Factor Arrows
1328,463

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, 5, 13, 28463

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 28,463 = 3,700,190

This can also be written as 21 x 51 x 131 x 28,4631 = 3,700,190

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


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