Q: What are the prime factors of the number 455,221,344?

 A: 2, 3, 59, 179, 449

Why are those the prime factors of the number 455,221,344?

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 455,221,344

455,221,344
Factor Arrows
2227,610,672
Factor Arrows
2113,805,336
Factor Arrows
256,902,668
Factor Arrows
228,451,334
Factor Arrows
214,225,667
Factor Arrows
34,741,889
Factor Arrows
5980,371
Factor Arrows
179449

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, 59, 179, 449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 59 x 179 x 449 = 455,221,344

This can also be written as 25 x 31 x 591 x 1791 x 4491 = 455,221,344

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


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