Q: What are the prime factors of the number 294,080,496?

 A: 2, 3, 6126677

Why are those the prime factors of the number 294,080,496?

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 294,080,496

294,080,496
Factor Arrows
2147,040,248
Factor Arrows
273,520,124
Factor Arrows
236,760,062
Factor Arrows
218,380,031
Factor Arrows
36,126,677

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, 6126677

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 6,126,677 = 294,080,496

This can also be written as 24 x 31 x 6,126,6771 = 294,080,496

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


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