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

 A: 7, 11, 13, 79

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

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 553,553

553,553
Factor Arrows
779,079
Factor Arrows
711,297
Factor Arrows
111,027
Factor Arrows
1379

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:

7, 11, 13, 79

We can check our work by multiplying all of the prime factors together: 7 x 7 x 11 x 13 x 79 = 553,553

This can also be written as 72 x 111 x 131 x 791 = 553,553

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


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