Q: What are the prime factors of the number 560,775,236?

 A: 2, 7, 23, 47, 97, 191

Why are those the prime factors of the number 560,775,236?

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 560,775,236

560,775,236
Factor Arrows
2280,387,618
Factor Arrows
2140,193,809
Factor Arrows
720,027,687
Factor Arrows
23870,769
Factor Arrows
4718,527
Factor Arrows
97191

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, 7, 23, 47, 97, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 23 x 47 x 97 x 191 = 560,775,236

This can also be written as 22 x 71 x 231 x 471 x 971 x 1911 = 560,775,236

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


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