Q: What are the prime factors of the number 552,264,454?

 A: 2, 7, 23, 1715107

Why are those the prime factors of the number 552,264,454?

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 552,264,454

552,264,454
Factor Arrows
2276,132,227
Factor Arrows
739,447,461
Factor Arrows
231,715,107

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, 7, 23, 1715107

We can check our work by multiplying all of the prime factors together: 2 x 7 x 23 x 1,715,107 = 552,264,454

This can also be written as 21 x 71 x 231 x 1,715,1071 = 552,264,454

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


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