Q: What are the prime factors of the number 24,841,098?

 A: 2, 3, 47, 29363

Why are those the prime factors of the number 24,841,098?

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 24,841,098

24,841,098
Factor Arrows
212,420,549
Factor Arrows
34,140,183
Factor Arrows
31,380,061
Factor Arrows
4729,363

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, 47, 29363

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 47 x 29,363 = 24,841,098

This can also be written as 21 x 32 x 471 x 29,3631 = 24,841,098

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


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