Q: What are the prime factors of the number 102,709,611?

 A: 3, 19, 600641

Why are those the prime factors of the number 102,709,611?

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 102,709,611

102,709,611
Factor Arrows
334,236,537
Factor Arrows
311,412,179
Factor Arrows
19600,641

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:

3, 19, 600641

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 600,641 = 102,709,611

This can also be written as 32 x 191 x 600,6411 = 102,709,611

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


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