What are the Factors of 88?

The following are the different types of factors of 88:

• Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88

• Sum of Factors of 88: 180

• Negative Factors of 88: -1, -2, -4, -8, -11, -22, -44, -88

• Prime Factors of 88: 2, 11

• Prime Factorization of 88: 2^3 × 11^1

There are two ways to find the factors of 88: using factor pairs, and using prime factorization.

Factor pairs of 88 are any two numbers that, when multiplied together, equal 88. The question to ask is “what two numbers multiplied together equal 88?” Every factor can be paired with another factor, and multiplying the two will result in 88.

To find the factor pairs of 88, follow these steps:

Step 1:

Find the smallest prime number that is larger than 1, and is a factor of 88. For reference, the first prime numbers to check are 2, 3, 5, 7, 11, and 13. In this case, the smallest factor that’s a prime number larger than 1 is 2.

Step 2:

Divide 88 by the smallest prime factor, in this case, 2:

88 ÷ 2 = 44

2 and 44 will make a new factor pair.

Step 3:

Repeat Steps 1 and 2, using 44 as the new focus. Find the smallest prime factor that isn’t 1, and divide 44 by that number. In this case, 2 is the new smallest prime factor:

44 ÷ 2 = 22

Remember that this new factor pair is only for the factors of 44, not 88. So, to finish the factor pair for 88, you’d multiply 2 and 2 before pairing with 22:

2 x 2 = 4

Step 4:

Repeat this process until there are no longer any prime factors larger than one to divide by. At the end, you should have the full list of factor pairs.

Here are all the factor pairs for 88:

(1, 88), (2, 44), (4, 22), (8, 11)

So, to list all the factors of 88: 1, 2, 4, 8, 11, 22, 44, 88

The negative factors of 88 would be: -1, -2, -4, -8, -11, -22, -44, -88

To find the Prime factorization of 88, we break down all the factors of 88 until we are left with only prime factors. We then express n as a product of multiplying the prime factors together.

The process of finding the prime factorization of 88 only has a few differences from the above method of finding the factors of 88. Instead of ensuring we find the right factor pairs, we continue to factor each step until we are left with only the list of smallest prime factors greater than 1.

Here are the steps for finding the prime factorization of 88:

Step 1:

Find the smallest prime number that is larger than 1, and is a factor of 88. For reference, the first prime numbers to check are 2, 3, 5, 7, 11, and 13. In this case, the smallest factor that’s a prime number larger than 1 is 2.

Step 2:

Divide 88 by the smallest prime factor, in this case, 2

88 ÷ 2 = 44

2 becomes the first number in our prime factorization.

Step 3:

Repeat Steps 1 and 2, using 44 as the new focus. Find the smallest prime factor that isn’t 1, and divide 44 by that number. The smallest prime factor you pick for 44 will then be the next prime factor. If you keep repeating this process, there will be a point where there will be no more prime factors left, which leaves you with the prime factors for prime factorization.

So, the unique prime factors of 88 are: 2, 11

Practice your factoring skills by exploring how to factor other numbers, like the ones below:

Factors of 11 - The factors of 11 are 1, 11

Factors of 64 - The factors of 64 are 1, 2, 4, 8, 16, 32, 64

Factors of 92 - The factors of 92 are 1, 2, 4, 23, 46, 92

Factors of 104 - The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104