Q: What are the prime factors of the number 2,252,178?

 A: 2, 3, 179, 233

Why are those the prime factors of the number 2,252,178?

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 2,252,178

2,252,178
Factor Arrows
21,126,089
Factor Arrows
3375,363
Factor Arrows
3125,121
Factor Arrows
341,707
Factor Arrows
179233

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, 179, 233

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 179 x 233 = 2,252,178

This can also be written as 21 x 33 x 1791 x 2331 = 2,252,178

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


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