Q: What are the prime factors of the number 650,620,240?

 A: 2, 5, 571, 14243

Why are those the prime factors of the number 650,620,240?

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 650,620,240

650,620,240
Factor Arrows
2325,310,120
Factor Arrows
2162,655,060
Factor Arrows
281,327,530
Factor Arrows
240,663,765
Factor Arrows
58,132,753
Factor Arrows
57114,243

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, 571, 14243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 571 x 14,243 = 650,620,240

This can also be written as 24 x 51 x 5711 x 14,2431 = 650,620,240

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


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