Q: What are the prime factors of the number 20,434,032?

 A: 2, 3, 15767

Why are those the prime factors of the number 20,434,032?

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 20,434,032

20,434,032
Factor Arrows
210,217,016
Factor Arrows
25,108,508
Factor Arrows
22,554,254
Factor Arrows
21,277,127
Factor Arrows
3425,709
Factor Arrows
3141,903
Factor Arrows
347,301
Factor Arrows
315,767

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, 15767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 15,767 = 20,434,032

This can also be written as 24 x 34 x 15,7671 = 20,434,032

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


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