Q: What are the prime factors of the number 22,670,172?

 A: 2, 3, 7, 157, 191

Why are those the prime factors of the number 22,670,172?

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 22,670,172

22,670,172
Factor Arrows
211,335,086
Factor Arrows
25,667,543
Factor Arrows
31,889,181
Factor Arrows
3629,727
Factor Arrows
3209,909
Factor Arrows
729,987
Factor Arrows
157191

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, 7, 157, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 157 x 191 = 22,670,172

This can also be written as 22 x 33 x 71 x 1571 x 1911 = 22,670,172

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


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