Q:

# What is the prime factorization of 88?

A:

The prime factorization of 88 is 11 x 2 x 2 x 2. The only factors of 88 that are prime numbers are two and 11.

## Keep Learning

Credit: Education Images Universal Images Group Getty Images

Prime factorization is the process of reducing a number to its prime factors. Factors are numbers that are multiplied to equal other numbers. A prime factor is a factor that is a prime number, meaning the only whole numbers it can be divided by are itself and one. The factors of 88 include 11 and eight. Eleven is already a prime number, but eight can be divided by one, two, four and eight, so eight must be factored down to 2 x 2 x 2. The prime factorization of 88, then, is 11 x 2 x 2 x 2.

Sources:

## Related Questions

• A: The prime factorization of 40 is 40 = 2 x 2 x 2 x 5. To find the prime factorization of any number, x, one must determine which prime numbers multiple toge... Full Answer >
Filed Under:
• A: The prime factorization of 38 is 19 multiplied by 2. Prime factorization involves finding which prime numbers may be multiplied together to yield a particu... Full Answer >
Filed Under:
• A: The prime factorization of 81 is 3 x 3 x 3 x 3, or 3 ^ 4. Prime factorization of a number involves finding the prime numbers that, when multiplied together... Full Answer >
Filed Under:
• A: Prime factorization of a monomial involves factoring the constant part of the monomial to its prime numbers. It also factors out the variables.... Full Answer >
Filed Under:
PEOPLE SEARCH FOR