Q: What are the prime factors of the number 554,113,236?

 A: 2, 3, 3299, 13997

Why are those the prime factors of the number 554,113,236?

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 554,113,236

554,113,236
Factor Arrows
2277,056,618
Factor Arrows
2138,528,309
Factor Arrows
346,176,103
Factor Arrows
3,29913,997

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, 3299, 13997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3,299 x 13,997 = 554,113,236

This can also be written as 22 x 31 x 3,2991 x 13,9971 = 554,113,236

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


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