Q: What are the prime factors of the number 342,111,636?

 A: 2, 3, 9503101

Why are those the prime factors of the number 342,111,636?

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 342,111,636

342,111,636
Factor Arrows
2171,055,818
Factor Arrows
285,527,909
Factor Arrows
328,509,303
Factor Arrows
39,503,101

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, 9503101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 9,503,101 = 342,111,636

This can also be written as 22 x 32 x 9,503,1011 = 342,111,636

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


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