Q: What are the prime factors of the number 562,433,482?

 A: 2, 13, 29, 745933

Why are those the prime factors of the number 562,433,482?

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 562,433,482

562,433,482
Factor Arrows
2281,216,741
Factor Arrows
1321,632,057
Factor Arrows
29745,933

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, 13, 29, 745933

We can check our work by multiplying all of the prime factors together: 2 x 13 x 29 x 745,933 = 562,433,482

This can also be written as 21 x 131 x 291 x 745,9331 = 562,433,482

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


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