Q: What are the prime factors of the number 20,675,434?

 A: 2, 13, 17, 29, 1613

Why are those the prime factors of the number 20,675,434?

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 20,675,434

20,675,434
Factor Arrows
210,337,717
Factor Arrows
13795,209
Factor Arrows
1746,777
Factor Arrows
291,613

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, 13, 17, 29, 1613

We can check our work by multiplying all of the prime factors together: 2 x 13 x 17 x 29 x 1,613 = 20,675,434

This can also be written as 21 x 131 x 171 x 291 x 1,6131 = 20,675,434

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


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