Q: What are the prime factors of the number 562,211,670?

 A: 2, 3, 5, 37, 43, 11779

Why are those the prime factors of the number 562,211,670?

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 562,211,670

562,211,670
Factor Arrows
2281,105,835
Factor Arrows
393,701,945
Factor Arrows
518,740,389
Factor Arrows
37506,497
Factor Arrows
4311,779

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, 37, 43, 11779

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 37 x 43 x 11,779 = 562,211,670

This can also be written as 21 x 31 x 51 x 371 x 431 x 11,7791 = 562,211,670

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


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