Q: What are the prime factors of the number 270,052,244?

 A: 2, 7, 11, 19, 46147

Why are those the prime factors of the number 270,052,244?

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 270,052,244

270,052,244
Factor Arrows
2135,026,122
Factor Arrows
267,513,061
Factor Arrows
79,644,723
Factor Arrows
11876,793
Factor Arrows
1946,147

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, 7, 11, 19, 46147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 19 x 46,147 = 270,052,244

This can also be written as 22 x 71 x 111 x 191 x 46,1471 = 270,052,244

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


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