Q: What are the prime factors of the number 53,229,520?

 A: 2, 5, 665369

Why are those the prime factors of the number 53,229,520?

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 53,229,520

53,229,520
Factor Arrows
226,614,760
Factor Arrows
213,307,380
Factor Arrows
26,653,690
Factor Arrows
23,326,845
Factor Arrows
5665,369

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, 665369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 665,369 = 53,229,520

This can also be written as 24 x 51 x 665,3691 = 53,229,520

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


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