Q: What are the prime factors of the number 140,656,256?

 A: 2, 13, 137, 617

Why are those the prime factors of the number 140,656,256?

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 140,656,256

140,656,256
Factor Arrows
270,328,128
Factor Arrows
235,164,064
Factor Arrows
217,582,032
Factor Arrows
28,791,016
Factor Arrows
24,395,508
Factor Arrows
22,197,754
Factor Arrows
21,098,877
Factor Arrows
1384,529
Factor Arrows
137617

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, 13, 137, 617

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 13 x 137 x 617 = 140,656,256

This can also be written as 27 x 131 x 1371 x 6171 = 140,656,256

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


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