Q: What are the prime factors of the number 22,221,212?

 A: 2, 13, 101, 4231

Why are those the prime factors of the number 22,221,212?

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 22,221,212

22,221,212
Factor Arrows
211,110,606
Factor Arrows
25,555,303
Factor Arrows
13427,331
Factor Arrows
1014,231

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, 13, 101, 4231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 101 x 4,231 = 22,221,212

This can also be written as 22 x 131 x 1011 x 4,2311 = 22,221,212

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


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