Q: What are the prime factors of the number 28,024,068?

 A: 2, 3, 53, 139, 317

Why are those the prime factors of the number 28,024,068?

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 28,024,068

28,024,068
Factor Arrows
214,012,034
Factor Arrows
27,006,017
Factor Arrows
32,335,339
Factor Arrows
5344,063
Factor Arrows
139317

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, 53, 139, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 53 x 139 x 317 = 28,024,068

This can also be written as 22 x 31 x 531 x 1391 x 3171 = 28,024,068

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


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