1. Steps to find factors of 88 using Division Method

Example: Find factors of 88

  • Divide 88 by 1: 88 ÷ 1 : Remainder = 0
  • Divide 88 by 2: 88 ÷ 2 : Remainder = 0
  • Divide 88 by 4: 88 ÷ 4 : Remainder = 0
  • Divide 88 by 8: 88 ÷ 8 : Remainder = 0
  • Divide 88 by 11: 88 ÷ 11 : Remainder = 0
  • Divide 88 by 22: 88 ÷ 22 : Remainder = 0
  • Divide 88 by 44: 88 ÷ 44 : Remainder = 0
  • Divide 88 by 88: 88 ÷ 88 : Remainder = 0

Hence, Factors of 88 are 1, 2, 4, 8, 11, 22, 44, and 88

2. Steps to find factors of 88 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 88 using the division method, follow these steps:

  • Step 1. Start dividing 88 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 88, which is 2. Divide 88 by 2 to obtain the quotient (44).
    88 ÷ 2 = 44
  • Step 3. Repeat step 1 with the obtained quotient (44).
    44 ÷ 2 = 22
    22 ÷ 2 = 11
    11 ÷ 11 = 1

So, the prime factorization of 88 is, 88 = 2 x 2 x 2 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 88 as shown below:

So, the prime factorization of 88 is, 88 = 2 x 2 x 2 x 11.

3. Find factors of 88 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 88 would be the two numbers which, when multiplied, give 88 as the result.

The following table represents the calculation of factors of 88 in pairs:

Factor Pair Pair Factorization
1 and 88 1 x 88 = 88
2 and 44 2 x 44 = 88
4 and 22 4 x 22 = 88
8 and 11 8 x 11 = 88

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 88. They are called negative pair factors.

Hence, the negative pairs of 88 would be ( -1 , -88 ) , ( -2 , -44 ) , ( -4 , -22 ) and ( -8 , -11 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 88 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 88.
  • Every number is a factor of zero (0), since 88 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 11, 22, 44, 88 are exact divisors of 88.
  • Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. Each factor divides 88 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 11, 22, 44, 88 are all less than or equal to 88.

Frequently Asked Questions

  • Which is the smallest prime factor of 88?

    The smallest prime factor of 88 is 2.

  • Is 88 a whole number?

    Yes 88 is a whole number.

  • What are the prime factors of 88?

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

  • What two numbers make 88?

    Two numbers that make 88 are 2 and 44.

  • What are multiples of 88?

    First five multiples of 88 are 176, 264, 352, 440.

  • What is the sum of all factors of 88?

    The sum of all factors of 88 is 180.

  • What are five multiples of 88?

    First five multiples of 88 are 176, 264, 352, 440, 528.

  • Is 88 a perfect square?

    No 88 is not a perfect square.

  • What is the greatest prime factors of 88?

    The greatest prime factor of 88 is 11.

Examples of Factors

How many factors are there for 88?

Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 88. Can you predict the answer?

7 factor(s) of 88 are 1, 2, 4, 8, 11, 22, 44.

Sammy is puzzled while calculating the prime factors of 88. Can you help him find them?

Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88.
Prime factors of 88 are 2, 2, 2, 11

What is prime factorization of 88?

Prime factorization of 88 is 2 x 2 x 2 x 11 = 23 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 88. Can you help her?

Prime factors of 88 are 2, 2, 2, 11.
Hence, the product of prime factors of 22.

Can you help Rubel to find out the product of the even factors of 88?

Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88.
Even factors of 88 are 2, 4, 8, 22, 44, 88.
Hence, product of even factors of 88 is; 2 x 4 x 8 x 22 x 44 x 88 = 5451776.

Joy wants to calculate mean of all the factors of 88. Help him in finding the mean of 88.

Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 88 is 1 + 2 + 4 + 8 + 11 + 22 + 44 + 88 = 180.
Hence, the mean of factors of 88 is 180 ÷ 8 = 22.50.