Q: What are the prime factors of the number 11,620,422?

 A: 2, 3, 11, 6521

Why are those the prime factors of the number 11,620,422?

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 11,620,422

11,620,422
Factor Arrows
25,810,211
Factor Arrows
31,936,737
Factor Arrows
3645,579
Factor Arrows
3215,193
Factor Arrows
371,731
Factor Arrows
116,521

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, 11, 6521

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 11 x 6,521 = 11,620,422

This can also be written as 21 x 34 x 111 x 6,5211 = 11,620,422

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


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