Q: What are the prime factors of the number 520,068?

 A: 2, 3, 19, 2281

Why are those the prime factors of the number 520,068?

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 520,068

520,068
Factor Arrows
2260,034
Factor Arrows
2130,017
Factor Arrows
343,339
Factor Arrows
192,281

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, 19, 2281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 2,281 = 520,068

This can also be written as 22 x 31 x 191 x 2,2811 = 520,068

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


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