Q: What are the prime factors of the number 770,851,476?

 A: 2, 3, 1789, 11969

Why are those the prime factors of the number 770,851,476?

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 770,851,476

770,851,476
Factor Arrows
2385,425,738
Factor Arrows
2192,712,869
Factor Arrows
364,237,623
Factor Arrows
321,412,541
Factor Arrows
1,78911,969

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, 1789, 11969

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 1,789 x 11,969 = 770,851,476

This can also be written as 22 x 32 x 1,7891 x 11,9691 = 770,851,476

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


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