Q: What are the prime factors of the number 563,655,450?

 A: 2, 3, 5, 3757703

Why are those the prime factors of the number 563,655,450?

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 563,655,450

563,655,450
Factor Arrows
2281,827,725
Factor Arrows
393,942,575
Factor Arrows
518,788,515
Factor Arrows
53,757,703

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, 3757703

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 3,757,703 = 563,655,450

This can also be written as 21 x 31 x 52 x 3,757,7031 = 563,655,450

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


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