Q: What are the prime factors of the number 833,145,612?

 A: 2, 3, 13, 347, 15391

Why are those the prime factors of the number 833,145,612?

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 833,145,612

833,145,612
Factor Arrows
2416,572,806
Factor Arrows
2208,286,403
Factor Arrows
369,428,801
Factor Arrows
135,340,677
Factor Arrows
34715,391

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, 13, 347, 15391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 347 x 15,391 = 833,145,612

This can also be written as 22 x 31 x 131 x 3471 x 15,3911 = 833,145,612

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


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