Q:

# What is the prime factorization of 92?

A:

The prime factorization of 92 is 2^2 x 23. Prime factorization of a number requires finding all of the prime numbers that multiply together to yield that particular number. Prime numbers are numbers greater than one that are evenly divisible only by themselves and one.

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The number 92 is a composite number, which means it is evenly divisible by numbers other than itself and one. Find two numbers that multiply together to make 92, such as 2 x 46. Two is a prime number, but 46 is a composite number. Find two numbers that multiply together to make 46, such as 2 x 23. Both two and 23 are prime numbers. The prime numbers that multiply together to make 46 are 2 x 2 x 23.

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