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Q:

# What is the prime factorization of 85?

A:

The prime factorization of 85 is 5 x 17. The prime factorization of a number involves breaking down a number into a combination of its prime factors. The final factorization can be two or more prime numbers and may contain duplicates.

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The simplest prime factorization method is to divide a number by its lowest prime factor and continue doing so to the result until only prime numbers remain. The number smallest prime factor of 85 is 5, which yields 17 when 85 is divided by 5. Because 17 is also a prime number, the final prime factorization of 85 is equal to 5 x 17.

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The prime factorization of 99 is 3 times 3 times 11, or 3^2 times 11. Prime factorization requires finding the prime numbers that multiply together to make a particular number. Prime numbers are numbers that are evenly divisible by only themselves and one.

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The prime factorization of 72 is 23x 32, or 2 x 2 x 2 x 3 x 3. The prime factorization of a number involves determining the factors of a number that are also prime numbers and multiply together to equal the original number.

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The prime factorization of 100 is 2^2 x 5^2, or 2 x 2 x 5 x 5. One hundred is considered a composite number because it is a positive integer divisible by at least one positive number other than 1 and 100 (itself).