Q: What are the prime factors of the number 22,024,210?

 A: 2, 5, 13, 191, 887

Why are those the prime factors of the number 22,024,210?

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 22,024,210

22,024,210
Factor Arrows
211,012,105
Factor Arrows
52,202,421
Factor Arrows
13169,417
Factor Arrows
191887

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, 5, 13, 191, 887

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 191 x 887 = 22,024,210

This can also be written as 21 x 51 x 131 x 1911 x 8871 = 22,024,210

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


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