Q: What are the prime factors of the number 648,552?

 A: 2, 3, 61, 443

Why are those the prime factors of the number 648,552?

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 648,552

648,552
Factor Arrows
2324,276
Factor Arrows
2162,138
Factor Arrows
281,069
Factor Arrows
327,023
Factor Arrows
61443

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, 61, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 61 x 443 = 648,552

This can also be written as 23 x 31 x 611 x 4431 = 648,552

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


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