Q: What are the prime factors of the number 24,858,368?

 A: 2, 97103

Why are those the prime factors of the number 24,858,368?

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 24,858,368

24,858,368
Factor Arrows
212,429,184
Factor Arrows
26,214,592
Factor Arrows
23,107,296
Factor Arrows
21,553,648
Factor Arrows
2776,824
Factor Arrows
2388,412
Factor Arrows
2194,206
Factor Arrows
297,103

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, 97103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 97,103 = 24,858,368

This can also be written as 28 x 97,1031 = 24,858,368

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


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