Q: What are the prime factors of the number 31,400,002?

 A: 2, 227, 69163

Why are those the prime factors of the number 31,400,002?

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 31,400,002

31,400,002
Factor Arrows
215,700,001
Factor Arrows
22769,163

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, 227, 69163

We can check our work by multiplying all of the prime factors together: 2 x 227 x 69,163 = 31,400,002

This can also be written as 21 x 2271 x 69,1631 = 31,400,002

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


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