Q: What are the prime factors of the number 552,680?

 A: 2, 5, 41, 337

Why are those the prime factors of the number 552,680?

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 552,680

552,680
Factor Arrows
2276,340
Factor Arrows
2138,170
Factor Arrows
269,085
Factor Arrows
513,817
Factor Arrows
41337

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, 5, 41, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 41 x 337 = 552,680

This can also be written as 23 x 51 x 411 x 3371 = 552,680

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


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