Q: What are the prime factors of the number 562,564,056?

 A: 2, 3, 47, 59, 79, 107

Why are those the prime factors of the number 562,564,056?

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 562,564,056

562,564,056
Factor Arrows
2281,282,028
Factor Arrows
2140,641,014
Factor Arrows
270,320,507
Factor Arrows
323,440,169
Factor Arrows
47498,727
Factor Arrows
598,453
Factor Arrows
79107

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, 47, 59, 79, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 47 x 59 x 79 x 107 = 562,564,056

This can also be written as 23 x 31 x 471 x 591 x 791 x 1071 = 562,564,056

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


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