Q: What are the prime factors of the number 656,120,832?

 A: 2, 3, 43, 4967

Why are those the prime factors of the number 656,120,832?

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 656,120,832

656,120,832
Factor Arrows
2328,060,416
Factor Arrows
2164,030,208
Factor Arrows
282,015,104
Factor Arrows
241,007,552
Factor Arrows
220,503,776
Factor Arrows
210,251,888
Factor Arrows
25,125,944
Factor Arrows
22,562,972
Factor Arrows
21,281,486
Factor Arrows
2640,743
Factor Arrows
3213,581
Factor Arrows
434,967

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, 43, 4967

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 2 x 2 x 2 x 2 x 3 x 43 x 4,967 = 656,120,832

This can also be written as 210 x 31 x 431 x 4,9671 = 656,120,832

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


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