Q: What are the prime factors of the number 481,031,776?

 A: 2, 15032243

Why are those the prime factors of the number 481,031,776?

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 481,031,776

481,031,776
Factor Arrows
2240,515,888
Factor Arrows
2120,257,944
Factor Arrows
260,128,972
Factor Arrows
230,064,486
Factor Arrows
215,032,243

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, 15032243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 15,032,243 = 481,031,776

This can also be written as 25 x 15,032,2431 = 481,031,776

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


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