Q: What are the prime factors of the number 544,648?

 A: 2, 13, 5237

Why are those the prime factors of the number 544,648?

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 544,648

544,648
Factor Arrows
2272,324
Factor Arrows
2136,162
Factor Arrows
268,081
Factor Arrows
135,237

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, 13, 5237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 5,237 = 544,648

This can also be written as 23 x 131 x 5,2371 = 544,648

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


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