Q:

# What is the prime factorization of 36?

A:

The prime factorization of 36 can be written as 2x2x3x3. Numbers greater than 1 that can only be divided by themselves and 1 are called prime numbers. Each non-prime number has a unique prime factorization.

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The best way to find the prime factorization of an even number is to first divide the number by 2. When dividing 36 by 2, the result is 18. This is not a prime number, so further divide by 2 to get 9. The result is now 2x2x9. The number 9 is not a prime and is also not even, so divide by the next prime number, 3. This results in 3. The prime factorization of 36 is now 2x2x3x3, which are all prime numbers.

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## Related Questions

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The prime factorization of 35 is 5 and 7. Prime factors are numbers that are only divisible by themselves and one. While every number is divisible by one, most mathematicians do not consider it as a prime factor.

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The prime factorization of 256 is two to the eighth power, or 2^8. The prime factors of a given number are the prime numbers that, when multiplied together, yield the given number. Prime numbers are numbers that are evenly divisible by only themselves and one.

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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.