Q: What are the prime factors of the number 563,827,084?

 A: 2, 107, 491, 2683

Why are those the prime factors of the number 563,827,084?

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 563,827,084

563,827,084
Factor Arrows
2281,913,542
Factor Arrows
2140,956,771
Factor Arrows
1071,317,353
Factor Arrows
4912,683

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, 107, 491, 2683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 107 x 491 x 2,683 = 563,827,084

This can also be written as 22 x 1071 x 4911 x 2,6831 = 563,827,084

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


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