Q: What are the prime factors of the number 76,640,500?

 A: 2, 5, 153281

Why are those the prime factors of the number 76,640,500?

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 76,640,500

76,640,500
Factor Arrows
238,320,250
Factor Arrows
219,160,125
Factor Arrows
53,832,025
Factor Arrows
5766,405
Factor Arrows
5153,281

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, 153281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 153,281 = 76,640,500

This can also be written as 22 x 53 x 153,2811 = 76,640,500

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


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