# Factors of 88

Definition of factors of 88: If a number completely divides 88 without leaving a remainder, then that number is called a factor of 88. Thus, we can say that the factors of 88 are the divisors of 88.

Here, we will learn about the factors of 88 and the prime factors of 88. We have:

• 88 = 2×2×2×11 =23×11 is the prime factorization of 88.
• The factors of 88 are 1, 2, 4, 8, 11, 22, 44 and 88.
• The prime factors of 88 are 2 and 11.
• Negative factors of 88 are –1, -2, -4, -8, -11, -22, -44 and –88.

#### What are the factors of 88?

Let us write the number 88 multiplicatively in all possible ways. We definitely have:

88 = 1×88

88 = 2×44

88 = 4×22

88 = 8×11

As there are no other ways we can write 88 multiplicatively, so we will stop right now. So the factors of 88 in pairs are given as follows:

 88 = a×b Factors in Pairs (a,b) 88 = 1×88 (1, 88) 88 = 2×44 (2, 44) 88 = 4×22 (4, 22) 88 = 8×11 (8, 11)

Thus the pair factors of 88 are (1, 88), (2, 44), (4, 22) and (8, 11). As all the numbers appearing in pair factors are the factors of 88, we conclude that

 The factors of 88 are: 1, 2, 4, 8, 11, 22, 44 and 88.

#### Number of factors of 88

From above we have calculated the factors of 88 which are 1, 2, 4, 8, 11, 22, 44 and 88.

Thus the total number of factors of 88 is eight.

#### Prime Factors of 88

Note that the factors of 88 are 1, 2, 4, 8, 11, 22, 44 and 88. Among those factors, we observe that only 2 and 11 are prime numbers as they do not have any proper divisors.

∴ the prime factors of 88 is 2 and 11.

Question: What are the factors of 88?

Video Solution:

#### How to find factors of 88?

Now we will determine the factors of 88 by division method. In this method, we will try to find the numbers that can divide 88 with no remainder. See that

88/1=88 and the remainder is 0.

1 and 88 are factors of 88.

88/2=44 and the remainder is 0.

2 and 44 are factors of 88.

88/4=22 and the remainder is 0.

4 and 22 are factors of 88.

88/8=11 and the remainder is 0.

8 and 11 are factors of 88.

Note that no numbers other than the numbers in violet color can divide 88. So the numbers in violet color, that is, 1, 2, 4, 8, 11, 22, 44, and 88 are the complete list of factors of 88.