Q: What are the prime factors of the number 624,504?

 A: 2, 3, 26021

Why are those the prime factors of the number 624,504?

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 624,504

624,504
Factor Arrows
2312,252
Factor Arrows
2156,126
Factor Arrows
278,063
Factor Arrows
326,021

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, 26021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 26,021 = 624,504

This can also be written as 23 x 31 x 26,0211 = 624,504

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


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