Q: What are the prime factors of the number 910,710?

 A: 2, 3, 5, 3373

Why are those the prime factors of the number 910,710?

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 910,710

910,710
Factor Arrows
2455,355
Factor Arrows
3151,785
Factor Arrows
350,595
Factor Arrows
316,865
Factor Arrows
53,373

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, 3373

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 3,373 = 910,710

This can also be written as 21 x 33 x 51 x 3,3731 = 910,710

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


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