Q: What are the prime factors of the number 650,171,472?

 A: 2, 3, 13545239

Why are those the prime factors of the number 650,171,472?

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 650,171,472

650,171,472
Factor Arrows
2325,085,736
Factor Arrows
2162,542,868
Factor Arrows
281,271,434
Factor Arrows
240,635,717
Factor Arrows
313,545,239

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, 13545239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13,545,239 = 650,171,472

This can also be written as 24 x 31 x 13,545,2391 = 650,171,472

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


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