Q: What are the prime factors of the number 34,932,222?

 A: 2, 3, 13, 19, 97

Why are those the prime factors of the number 34,932,222?

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 34,932,222

34,932,222
Factor Arrows
217,466,111
Factor Arrows
35,822,037
Factor Arrows
31,940,679
Factor Arrows
3646,893
Factor Arrows
3215,631
Factor Arrows
371,877
Factor Arrows
323,959
Factor Arrows
131,843
Factor Arrows
1997

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, 13, 19, 97

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 13 x 19 x 97 = 34,932,222

This can also be written as 21 x 36 x 131 x 191 x 971 = 34,932,222

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


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