Q: What are the prime factors of the number 140,230,100?

 A: 2, 5, 1402301

Why are those the prime factors of the number 140,230,100?

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 140,230,100

140,230,100
Factor Arrows
270,115,050
Factor Arrows
235,057,525
Factor Arrows
57,011,505
Factor Arrows
51,402,301

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, 1402301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 1,402,301 = 140,230,100

This can also be written as 22 x 52 x 1,402,3011 = 140,230,100

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


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