Q: What are the prime factors of the number 53,024,568?

 A: 2, 3, 23, 96059

Why are those the prime factors of the number 53,024,568?

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 53,024,568

53,024,568
Factor Arrows
226,512,284
Factor Arrows
213,256,142
Factor Arrows
26,628,071
Factor Arrows
32,209,357
Factor Arrows
2396,059

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, 23, 96059

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 23 x 96,059 = 53,024,568

This can also be written as 23 x 31 x 231 x 96,0591 = 53,024,568

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


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