Q: What are the prime factors of the number 528,828?

 A: 2, 3, 127, 347

Why are those the prime factors of the number 528,828?

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 528,828

528,828
Factor Arrows
2264,414
Factor Arrows
2132,207
Factor Arrows
344,069
Factor Arrows
127347

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, 127, 347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 127 x 347 = 528,828

This can also be written as 22 x 31 x 1271 x 3471 = 528,828

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


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