Q: What are the prime factors of the number 852,980?

 A: 2, 5, 42649

Why are those the prime factors of the number 852,980?

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 852,980

852,980
Factor Arrows
2426,490
Factor Arrows
2213,245
Factor Arrows
542,649

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, 42649

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 42,649 = 852,980

This can also be written as 22 x 51 x 42,6491 = 852,980

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


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