Q: What are the prime factors of the number 20,919,822?

 A: 2, 3, 7, 11, 45281

Why are those the prime factors of the number 20,919,822?

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 20,919,822

20,919,822
Factor Arrows
210,459,911
Factor Arrows
33,486,637
Factor Arrows
7498,091
Factor Arrows
1145,281

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, 45281

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 11 x 45,281 = 20,919,822

This can also be written as 21 x 31 x 71 x 111 x 45,2811 = 20,919,822

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


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