Q: What are the prime factors of the number 140,115,210?

 A: 2, 3, 5, 4670507

Why are those the prime factors of the number 140,115,210?

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 140,115,210

140,115,210
Factor Arrows
270,057,605
Factor Arrows
323,352,535
Factor Arrows
54,670,507

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, 5, 4670507

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 4,670,507 = 140,115,210

This can also be written as 21 x 31 x 51 x 4,670,5071 = 140,115,210

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


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