Q: What are the prime factors of the number 225,140,112?

 A: 2, 3, 17, 91969

Why are those the prime factors of the number 225,140,112?

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 225,140,112

225,140,112
Factor Arrows
2112,570,056
Factor Arrows
256,285,028
Factor Arrows
228,142,514
Factor Arrows
214,071,257
Factor Arrows
34,690,419
Factor Arrows
31,563,473
Factor Arrows
1791,969

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, 17, 91969

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 17 x 91,969 = 225,140,112

This can also be written as 24 x 32 x 171 x 91,9691 = 225,140,112

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


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