Q: What are the prime factors of the number 547,784?

 A: 2, 68473

Why are those the prime factors of the number 547,784?

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 547,784

547,784
Factor Arrows
2273,892
Factor Arrows
2136,946
Factor Arrows
268,473

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, 68473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 68,473 = 547,784

This can also be written as 23 x 68,4731 = 547,784

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


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