Q: What are the prime factors of the number 599,436?

 A: 2, 3, 16651

Why are those the prime factors of the number 599,436?

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 599,436

599,436
Factor Arrows
2299,718
Factor Arrows
2149,859
Factor Arrows
349,953
Factor Arrows
316,651

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, 16651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 16,651 = 599,436

This can also be written as 22 x 32 x 16,6511 = 599,436

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


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