Q: What are the prime factors of the number 22,191,714?

 A: 2, 3, 211, 5843

Why are those the prime factors of the number 22,191,714?

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 22,191,714

22,191,714
Factor Arrows
211,095,857
Factor Arrows
33,698,619
Factor Arrows
31,232,873
Factor Arrows
2115,843

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, 211, 5843

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 211 x 5,843 = 22,191,714

This can also be written as 21 x 32 x 2111 x 5,8431 = 22,191,714

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


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