Q: What are the prime factors of the number 650,560?

 A: 2, 5, 19, 107

Why are those the prime factors of the number 650,560?

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 650,560

650,560
Factor Arrows
2325,280
Factor Arrows
2162,640
Factor Arrows
281,320
Factor Arrows
240,660
Factor Arrows
220,330
Factor Arrows
210,165
Factor Arrows
52,033
Factor Arrows
19107

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, 5, 19, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 19 x 107 = 650,560

This can also be written as 26 x 51 x 191 x 1071 = 650,560

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


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