Q: What are the prime factors of the number 554,088,028?

 A: 2, 13, 467, 22817

Why are those the prime factors of the number 554,088,028?

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 554,088,028

554,088,028
Factor Arrows
2277,044,014
Factor Arrows
2138,522,007
Factor Arrows
1310,655,539
Factor Arrows
46722,817

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, 13, 467, 22817

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 467 x 22,817 = 554,088,028

This can also be written as 22 x 131 x 4671 x 22,8171 = 554,088,028

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


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