Q: What are the prime factors of the number 443,260,431?

 A: 3, 17, 47, 761

Why are those the prime factors of the number 443,260,431?

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 443,260,431

443,260,431
Factor Arrows
3147,753,477
Factor Arrows
349,251,159
Factor Arrows
316,417,053
Factor Arrows
35,472,351
Factor Arrows
31,824,117
Factor Arrows
3608,039
Factor Arrows
1735,767
Factor Arrows
47761

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, 17, 47, 761

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 17 x 47 x 761 = 443,260,431

This can also be written as 36 x 171 x 471 x 7611 = 443,260,431

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


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