Q: What are the prime factors of the number 535,350,600?

 A: 2, 3, 5, 99139

Why are those the prime factors of the number 535,350,600?

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 535,350,600

535,350,600
Factor Arrows
2267,675,300
Factor Arrows
2133,837,650
Factor Arrows
266,918,825
Factor Arrows
322,306,275
Factor Arrows
37,435,425
Factor Arrows
32,478,475
Factor Arrows
5495,695
Factor Arrows
599,139

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, 99139

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 99,139 = 535,350,600

This can also be written as 23 x 33 x 52 x 99,1391 = 535,350,600

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


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