Q: What are the prime factors of the number 28,246,578?

 A: 2, 3, 19, 127, 1951

Why are those the prime factors of the number 28,246,578?

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 28,246,578

28,246,578
Factor Arrows
214,123,289
Factor Arrows
34,707,763
Factor Arrows
19247,777
Factor Arrows
1271,951

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, 127, 1951

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 127 x 1,951 = 28,246,578

This can also be written as 21 x 31 x 191 x 1271 x 1,9511 = 28,246,578

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


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