Q: What are the prime factors of the number 22,738,535?

 A: 5, 19, 37, 6469

Why are those the prime factors of the number 22,738,535?

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 22,738,535

22,738,535
Factor Arrows
54,547,707
Factor Arrows
19239,353
Factor Arrows
376,469

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:

5, 19, 37, 6469

We can check our work by multiplying all of the prime factors together: 5 x 19 x 37 x 6,469 = 22,738,535

This can also be written as 51 x 191 x 371 x 6,4691 = 22,738,535

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


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