Q: What are the prime factors of the number 552,014,520?

 A: 2, 3, 5, 31, 179, 829

Why are those the prime factors of the number 552,014,520?

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 552,014,520

552,014,520
Factor Arrows
2276,007,260
Factor Arrows
2138,003,630
Factor Arrows
269,001,815
Factor Arrows
323,000,605
Factor Arrows
54,600,121
Factor Arrows
31148,391
Factor Arrows
179829

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, 5, 31, 179, 829

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 31 x 179 x 829 = 552,014,520

This can also be written as 23 x 31 x 51 x 311 x 1791 x 8291 = 552,014,520

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


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