Q: What are the prime factors of the number 14,615,296?

 A: 2, 37, 1543

Why are those the prime factors of the number 14,615,296?

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 14,615,296

14,615,296
Factor Arrows
27,307,648
Factor Arrows
23,653,824
Factor Arrows
21,826,912
Factor Arrows
2913,456
Factor Arrows
2456,728
Factor Arrows
2228,364
Factor Arrows
2114,182
Factor Arrows
257,091
Factor Arrows
371,543

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, 37, 1543

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 37 x 1,543 = 14,615,296

This can also be written as 28 x 371 x 1,5431 = 14,615,296

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


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