Q: What are the prime factors of the number 485,021,754?

 A: 2, 3, 7, 3849379

Why are those the prime factors of the number 485,021,754?

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 485,021,754

485,021,754
Factor Arrows
2242,510,877
Factor Arrows
380,836,959
Factor Arrows
326,945,653
Factor Arrows
73,849,379

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, 7, 3849379

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 3,849,379 = 485,021,754

This can also be written as 21 x 32 x 71 x 3,849,3791 = 485,021,754

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


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