Q: What are the prime factors of the number 4,311,024?

 A: 2, 3, 19, 29, 163

Why are those the prime factors of the number 4,311,024?

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 4,311,024

4,311,024
Factor Arrows
22,155,512
Factor Arrows
21,077,756
Factor Arrows
2538,878
Factor Arrows
2269,439
Factor Arrows
389,813
Factor Arrows
194,727
Factor Arrows
29163

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, 19, 29, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 29 x 163 = 4,311,024

This can also be written as 24 x 31 x 191 x 291 x 1631 = 4,311,024

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


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