Q: What are the prime factors of the number 920,270?

 A: 2, 5, 13, 7079

Why are those the prime factors of the number 920,270?

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 920,270

920,270
Factor Arrows
2460,135
Factor Arrows
592,027
Factor Arrows
137,079

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, 7079

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 7,079 = 920,270

This can also be written as 21 x 51 x 131 x 7,0791 = 920,270

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


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