Q: What are the prime factors of the number 216,430,136?

 A: 2, 13, 83, 25073

Why are those the prime factors of the number 216,430,136?

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 216,430,136

216,430,136
Factor Arrows
2108,215,068
Factor Arrows
254,107,534
Factor Arrows
227,053,767
Factor Arrows
132,081,059
Factor Arrows
8325,073

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, 13, 83, 25073

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 83 x 25,073 = 216,430,136

This can also be written as 23 x 131 x 831 x 25,0731 = 216,430,136

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


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