Q: What are the prime factors of the number 485,210,884?

 A: 2, 31, 109, 35899

Why are those the prime factors of the number 485,210,884?

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 485,210,884

485,210,884
Factor Arrows
2242,605,442
Factor Arrows
2121,302,721
Factor Arrows
313,912,991
Factor Arrows
10935,899

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, 31, 109, 35899

We can check our work by multiplying all of the prime factors together: 2 x 2 x 31 x 109 x 35,899 = 485,210,884

This can also be written as 22 x 311 x 1091 x 35,8991 = 485,210,884

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


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