Q: What are the prime factors of the number 2,370,870?

 A: 2, 3, 5, 2927

Why are those the prime factors of the number 2,370,870?

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 2,370,870

2,370,870
Factor Arrows
21,185,435
Factor Arrows
3395,145
Factor Arrows
3131,715
Factor Arrows
343,905
Factor Arrows
314,635
Factor Arrows
52,927

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, 2927

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 2,927 = 2,370,870

This can also be written as 21 x 34 x 51 x 2,9271 = 2,370,870

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


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