Q: What are the prime factors of the number 140,404,160?

 A: 2, 5, 13, 33751

Why are those the prime factors of the number 140,404,160?

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 140,404,160

140,404,160
Factor Arrows
270,202,080
Factor Arrows
235,101,040
Factor Arrows
217,550,520
Factor Arrows
28,775,260
Factor Arrows
24,387,630
Factor Arrows
22,193,815
Factor Arrows
5438,763
Factor Arrows
1333,751

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, 13, 33751

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 13 x 33,751 = 140,404,160

This can also be written as 26 x 51 x 131 x 33,7511 = 140,404,160

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


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