Q: What are the prime factors of the number 549,684,513?

 A: 3, 7, 233, 37447

Why are those the prime factors of the number 549,684,513?

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 549,684,513

549,684,513
Factor Arrows
3183,228,171
Factor Arrows
361,076,057
Factor Arrows
78,725,151
Factor Arrows
23337,447

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:

3, 7, 233, 37447

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 233 x 37,447 = 549,684,513

This can also be written as 32 x 71 x 2331 x 37,4471 = 549,684,513

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

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