Q: What are the prime factors of the number 67,055,028?

 A: 2, 3, 19, 23, 673

Why are those the prime factors of the number 67,055,028?

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 67,055,028

67,055,028
Factor Arrows
233,527,514
Factor Arrows
216,763,757
Factor Arrows
35,587,919
Factor Arrows
19294,101
Factor Arrows
1915,479
Factor Arrows
23673

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, 23, 673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 19 x 23 x 673 = 67,055,028

This can also be written as 22 x 31 x 192 x 231 x 6731 = 67,055,028

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


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