Q: What are the prime factors of the number 440,204,328?

 A: 2, 3, 311, 6553

Why are those the prime factors of the number 440,204,328?

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 440,204,328

440,204,328
Factor Arrows
2220,102,164
Factor Arrows
2110,051,082
Factor Arrows
255,025,541
Factor Arrows
318,341,847
Factor Arrows
36,113,949
Factor Arrows
32,037,983
Factor Arrows
3116,553

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, 311, 6553

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 311 x 6,553 = 440,204,328

This can also be written as 23 x 33 x 3111 x 6,5531 = 440,204,328

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


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