Q: What are the prime factors of the number 843,045,500?

 A: 2, 5, 11, 153281

Why are those the prime factors of the number 843,045,500?

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 843,045,500

843,045,500
Factor Arrows
2421,522,750
Factor Arrows
2210,761,375
Factor Arrows
542,152,275
Factor Arrows
58,430,455
Factor Arrows
51,686,091
Factor Arrows
11153,281

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, 5, 11, 153281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 11 x 153,281 = 843,045,500

This can also be written as 22 x 53 x 111 x 153,2811 = 843,045,500

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


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