Q: What are the prime factors of the number 2,501,028?

 A: 2, 3, 69473

Why are those the prime factors of the number 2,501,028?

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 2,501,028

2,501,028
Factor Arrows
21,250,514
Factor Arrows
2625,257
Factor Arrows
3208,419
Factor Arrows
369,473

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, 69473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 69,473 = 2,501,028

This can also be written as 22 x 32 x 69,4731 = 2,501,028

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


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