Q: What are the prime factors of the number 22,040,052?

 A: 2, 3, 67, 79, 347

Why are those the prime factors of the number 22,040,052?

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 22,040,052

22,040,052
Factor Arrows
211,020,026
Factor Arrows
25,510,013
Factor Arrows
31,836,671
Factor Arrows
6727,413
Factor Arrows
79347

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, 67, 79, 347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 67 x 79 x 347 = 22,040,052

This can also be written as 22 x 31 x 671 x 791 x 3471 = 22,040,052

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


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