Q: What are the prime factors of the number 554,445,040?

 A: 2, 5, 6930563

Why are those the prime factors of the number 554,445,040?

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 554,445,040

554,445,040
Factor Arrows
2277,222,520
Factor Arrows
2138,611,260
Factor Arrows
269,305,630
Factor Arrows
234,652,815
Factor Arrows
56,930,563

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, 5, 6930563

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 6,930,563 = 554,445,040

This can also be written as 24 x 51 x 6,930,5631 = 554,445,040

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


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