Q: What are the prime factors of the number 450,055,269?

 A: 3, 1693, 29537

Why are those the prime factors of the number 450,055,269?

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 450,055,269

450,055,269
Factor Arrows
3150,018,423
Factor Arrows
350,006,141
Factor Arrows
1,69329,537

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, 1693, 29537

We can check our work by multiplying all of the prime factors together: 3 x 3 x 1,693 x 29,537 = 450,055,269

This can also be written as 32 x 1,6931 x 29,5371 = 450,055,269

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


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