Q: What are the prime factors of the number 3,106,088?

 A: 2, 157, 2473

Why are those the prime factors of the number 3,106,088?

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 3,106,088

3,106,088
Factor Arrows
21,553,044
Factor Arrows
2776,522
Factor Arrows
2388,261
Factor Arrows
1572,473

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, 157, 2473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 157 x 2,473 = 3,106,088

This can also be written as 23 x 1571 x 2,4731 = 3,106,088

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


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