Q: What are the prime factors of the number 252,030,632?

 A: 2, 7, 4500547

Why are those the prime factors of the number 252,030,632?

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 252,030,632

252,030,632
Factor Arrows
2126,015,316
Factor Arrows
263,007,658
Factor Arrows
231,503,829
Factor Arrows
74,500,547

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, 4500547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 4,500,547 = 252,030,632

This can also be written as 23 x 71 x 4,500,5471 = 252,030,632

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


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