Q: What are the prime factors of the number 868,660?

 A: 2, 5, 13, 257

Why are those the prime factors of the number 868,660?

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 868,660

868,660
Factor Arrows
2434,330
Factor Arrows
2217,165
Factor Arrows
543,433
Factor Arrows
133,341
Factor Arrows
13257

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, 5, 13, 257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 13 x 257 = 868,660

This can also be written as 22 x 51 x 132 x 2571 = 868,660

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


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