Q: What are the prime factors of the number 731,140,064?

 A: 2, 19, 617, 1949

Why are those the prime factors of the number 731,140,064?

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 731,140,064

731,140,064
Factor Arrows
2365,570,032
Factor Arrows
2182,785,016
Factor Arrows
291,392,508
Factor Arrows
245,696,254
Factor Arrows
222,848,127
Factor Arrows
191,202,533
Factor Arrows
6171,949

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, 19, 617, 1949

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 617 x 1,949 = 731,140,064

This can also be written as 25 x 191 x 6171 x 1,9491 = 731,140,064

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


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