Q: What are the prime factors of the number 564,533,056?

 A: 2, 8820829

Why are those the prime factors of the number 564,533,056?

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 564,533,056

564,533,056
Factor Arrows
2282,266,528
Factor Arrows
2141,133,264
Factor Arrows
270,566,632
Factor Arrows
235,283,316
Factor Arrows
217,641,658
Factor Arrows
28,820,829

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, 8820829

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 8,820,829 = 564,533,056

This can also be written as 26 x 8,820,8291 = 564,533,056

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


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