Q: What are the prime factors of the number 786,800,712?

 A: 2, 3, 587, 55849

Why are those the prime factors of the number 786,800,712?

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 786,800,712

786,800,712
Factor Arrows
2393,400,356
Factor Arrows
2196,700,178
Factor Arrows
298,350,089
Factor Arrows
332,783,363
Factor Arrows
58755,849

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, 587, 55849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 587 x 55,849 = 786,800,712

This can also be written as 23 x 31 x 5871 x 55,8491 = 786,800,712

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


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