Q: What are the prime factors of the number 435,676?

 A: 2, 17, 43, 149

Why are those the prime factors of the number 435,676?

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 435,676

435,676
Factor Arrows
2217,838
Factor Arrows
2108,919
Factor Arrows
176,407
Factor Arrows
43149

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, 17, 43, 149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 43 x 149 = 435,676

This can also be written as 22 x 171 x 431 x 1491 = 435,676

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


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