Q: What are the prime factors of the number 465,613,443?

 A: 3, 47, 139, 7919

Why are those the prime factors of the number 465,613,443?

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 465,613,443

465,613,443
Factor Arrows
3155,204,481
Factor Arrows
351,734,827
Factor Arrows
471,100,741
Factor Arrows
1397,919

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:

3, 47, 139, 7919

We can check our work by multiplying all of the prime factors together: 3 x 3 x 47 x 139 x 7,919 = 465,613,443

This can also be written as 32 x 471 x 1391 x 7,9191 = 465,613,443

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


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