Q: What are the prime factors of the number 920,116?

 A: 2, 37, 6217

Why are those the prime factors of the number 920,116?

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 920,116

920,116
Factor Arrows
2460,058
Factor Arrows
2230,029
Factor Arrows
376,217

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, 37, 6217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 6,217 = 920,116

This can also be written as 22 x 371 x 6,2171 = 920,116

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


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