Q: What are the prime factors of the number 12,294,368?

 A: 2, 19, 73, 277

Why are those the prime factors of the number 12,294,368?

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 12,294,368

12,294,368
Factor Arrows
26,147,184
Factor Arrows
23,073,592
Factor Arrows
21,536,796
Factor Arrows
2768,398
Factor Arrows
2384,199
Factor Arrows
1920,221
Factor Arrows
73277

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, 19, 73, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 73 x 277 = 12,294,368

This can also be written as 25 x 191 x 731 x 2771 = 12,294,368

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


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