Q: What are the prime factors of the number 613,488?

 A: 2, 3, 12781

Why are those the prime factors of the number 613,488?

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 613,488

613,488
Factor Arrows
2306,744
Factor Arrows
2153,372
Factor Arrows
276,686
Factor Arrows
238,343
Factor Arrows
312,781

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, 12781

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 12,781 = 613,488

This can also be written as 24 x 31 x 12,7811 = 613,488

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


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