Q: What are the prime factors of the number 553,456,503?

 A: 3, 29, 706841

Why are those the prime factors of the number 553,456,503?

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 553,456,503

553,456,503
Factor Arrows
3184,485,501
Factor Arrows
361,495,167
Factor Arrows
320,498,389
Factor Arrows
29706,841

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:

3, 29, 706841

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 29 x 706,841 = 553,456,503

This can also be written as 33 x 291 x 706,8411 = 553,456,503

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


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