Q: What are the prime factors of the number 3,176,480?

 A: 2, 5, 19853

Why are those the prime factors of the number 3,176,480?

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 3,176,480

3,176,480
Factor Arrows
21,588,240
Factor Arrows
2794,120
Factor Arrows
2397,060
Factor Arrows
2198,530
Factor Arrows
299,265
Factor Arrows
519,853

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, 5, 19853

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 19,853 = 3,176,480

This can also be written as 25 x 51 x 19,8531 = 3,176,480

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


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