Q: What are the prime factors of the number 443,242,500?

 A: 2, 3, 5, 113, 523

Why are those the prime factors of the number 443,242,500?

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 443,242,500

443,242,500
Factor Arrows
2221,621,250
Factor Arrows
2110,810,625
Factor Arrows
336,936,875
Factor Arrows
57,387,375
Factor Arrows
51,477,475
Factor Arrows
5295,495
Factor Arrows
559,099
Factor Arrows
113523

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, 113, 523

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 5 x 113 x 523 = 443,242,500

This can also be written as 22 x 31 x 54 x 1131 x 5231 = 443,242,500

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


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