Q: What are the prime factors of the number 140,324,320?

 A: 2, 5, 877027

Why are those the prime factors of the number 140,324,320?

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 140,324,320

140,324,320
Factor Arrows
270,162,160
Factor Arrows
235,081,080
Factor Arrows
217,540,540
Factor Arrows
28,770,270
Factor Arrows
24,385,135
Factor Arrows
5877,027

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, 877027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 877,027 = 140,324,320

This can also be written as 25 x 51 x 877,0271 = 140,324,320

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


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