Q: What are the prime factors of the number 10,597,520?

 A: 2, 5, 132469

Why are those the prime factors of the number 10,597,520?

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 10,597,520

10,597,520
Factor Arrows
25,298,760
Factor Arrows
22,649,380
Factor Arrows
21,324,690
Factor Arrows
2662,345
Factor Arrows
5132,469

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, 132469

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 132,469 = 10,597,520

This can also be written as 24 x 51 x 132,4691 = 10,597,520

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


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