Q: What are the prime factors of the number 770,340,004?

 A: 2, 7, 67, 410629

Why are those the prime factors of the number 770,340,004?

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 770,340,004

770,340,004
Factor Arrows
2385,170,002
Factor Arrows
2192,585,001
Factor Arrows
727,512,143
Factor Arrows
67410,629

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, 7, 67, 410629

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 67 x 410,629 = 770,340,004

This can also be written as 22 x 71 x 671 x 410,6291 = 770,340,004

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


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