Q: What are the prime factors of the number 3,731,340?

 A: 2, 3, 5, 62189

Why are those the prime factors of the number 3,731,340?

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 3,731,340

3,731,340
Factor Arrows
21,865,670
Factor Arrows
2932,835
Factor Arrows
3310,945
Factor Arrows
562,189

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, 5, 62189

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 62,189 = 3,731,340

This can also be written as 22 x 31 x 51 x 62,1891 = 3,731,340

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


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