Q: What are the prime factors of the number 526,552,020?

 A: 2, 3, 5, 683, 4283

Why are those the prime factors of the number 526,552,020?

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 526,552,020

526,552,020
Factor Arrows
2263,276,010
Factor Arrows
2131,638,005
Factor Arrows
343,879,335
Factor Arrows
314,626,445
Factor Arrows
52,925,289
Factor Arrows
6834,283

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, 683, 4283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 683 x 4,283 = 526,552,020

This can also be written as 22 x 32 x 51 x 6831 x 4,2831 = 526,552,020

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


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