Q: What are the prime factors of the number 774,544,437?

 A: 3, 479, 19963

Why are those the prime factors of the number 774,544,437?

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 774,544,437

774,544,437
Factor Arrows
3258,181,479
Factor Arrows
386,060,493
Factor Arrows
328,686,831
Factor Arrows
39,562,277
Factor Arrows
47919,963

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:

3, 479, 19963

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 479 x 19,963 = 774,544,437

This can also be written as 34 x 4791 x 19,9631 = 774,544,437

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


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