Q: What are the prime factors of the number 81,028,100?

 A: 2, 5, 810281

Why are those the prime factors of the number 81,028,100?

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 81,028,100

81,028,100
Factor Arrows
240,514,050
Factor Arrows
220,257,025
Factor Arrows
54,051,405
Factor Arrows
5810,281

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, 810281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 810,281 = 81,028,100

This can also be written as 22 x 52 x 810,2811 = 81,028,100

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


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