Q: What are the prime factors of the number 551,425,120?

 A: 2, 5, 43, 80149

Why are those the prime factors of the number 551,425,120?

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 551,425,120

551,425,120
Factor Arrows
2275,712,560
Factor Arrows
2137,856,280
Factor Arrows
268,928,140
Factor Arrows
234,464,070
Factor Arrows
217,232,035
Factor Arrows
53,446,407
Factor Arrows
4380,149

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, 43, 80149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 43 x 80,149 = 551,425,120

This can also be written as 25 x 51 x 431 x 80,1491 = 551,425,120

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


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