Q: What are the prime factors of the number 567,054?

 A: 2, 3, 10501

Why are those the prime factors of the number 567,054?

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 567,054

567,054
Factor Arrows
2283,527
Factor Arrows
394,509
Factor Arrows
331,503
Factor Arrows
310,501

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, 3, 10501

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 10,501 = 567,054

This can also be written as 21 x 33 x 10,5011 = 567,054

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


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