Q: What are the prime factors of the number 22,441,140?

 A: 2, 3, 5, 124673

Why are those the prime factors of the number 22,441,140?

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 22,441,140

22,441,140
Factor Arrows
211,220,570
Factor Arrows
25,610,285
Factor Arrows
31,870,095
Factor Arrows
3623,365
Factor Arrows
5124,673

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, 5, 124673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 124,673 = 22,441,140

This can also be written as 22 x 32 x 51 x 124,6731 = 22,441,140

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


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