Q: What are the prime factors of the number 3,430,294?

 A: 2, 7, 17, 29, 71

Why are those the prime factors of the number 3,430,294?

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 3,430,294

3,430,294
Factor Arrows
21,715,147
Factor Arrows
7245,021
Factor Arrows
735,003
Factor Arrows
172,059
Factor Arrows
2971

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, 7, 17, 29, 71

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 17 x 29 x 71 = 3,430,294

This can also be written as 21 x 72 x 171 x 291 x 711 = 3,430,294

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


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