Q: What are the prime factors of the number 140,701,836?

 A: 2, 3, 11, 71, 15013

Why are those the prime factors of the number 140,701,836?

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 140,701,836

140,701,836
Factor Arrows
270,350,918
Factor Arrows
235,175,459
Factor Arrows
311,725,153
Factor Arrows
111,065,923
Factor Arrows
7115,013

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, 11, 71, 15013

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 71 x 15,013 = 140,701,836

This can also be written as 22 x 31 x 111 x 711 x 15,0131 = 140,701,836

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


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