Q: What are the prime factors of the number 520,352,430?

 A: 2, 3, 5, 13, 19, 70223

Why are those the prime factors of the number 520,352,430?

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 520,352,430

520,352,430
Factor Arrows
2260,176,215
Factor Arrows
386,725,405
Factor Arrows
517,345,081
Factor Arrows
131,334,237
Factor Arrows
1970,223

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, 5, 13, 19, 70223

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13 x 19 x 70,223 = 520,352,430

This can also be written as 21 x 31 x 51 x 131 x 191 x 70,2231 = 520,352,430

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


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