Q: What are the prime factors of the number 485,516,464?

 A: 2, 17, 53, 33679

Why are those the prime factors of the number 485,516,464?

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 485,516,464

485,516,464
Factor Arrows
2242,758,232
Factor Arrows
2121,379,116
Factor Arrows
260,689,558
Factor Arrows
230,344,779
Factor Arrows
171,784,987
Factor Arrows
5333,679

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, 17, 53, 33679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 53 x 33,679 = 485,516,464

This can also be written as 24 x 171 x 531 x 33,6791 = 485,516,464

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


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