Q: What are the prime factors of the number 4,228,686?

 A: 2, 3, 7, 11, 113

Why are those the prime factors of the number 4,228,686?

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 4,228,686

4,228,686
Factor Arrows
22,114,343
Factor Arrows
3704,781
Factor Arrows
3234,927
Factor Arrows
378,309
Factor Arrows
326,103
Factor Arrows
38,701
Factor Arrows
71,243
Factor Arrows
11113

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, 11, 113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 113 = 4,228,686

This can also be written as 21 x 35 x 71 x 111 x 1131 = 4,228,686

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


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