1. Steps to find factors of 44 using Division Method

Example: Find factors of 44

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

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

2. Steps to find factors of 44 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 44 using the division method, follow these steps:

  • Step 1. Start dividing 44 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 44, which is 2. Divide 44 by 2 to obtain the quotient (22).
    44 ÷ 2 = 22
  • Step 3. Repeat step 1 with the obtained quotient (22).
    22 ÷ 2 = 11
    11 ÷ 11 = 1

So, the prime factorization of 44 is, 44 = 2 x 2 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 44 as shown below:

So, the prime factorization of 44 is, 44 = 2 x 2 x 11.

3. Find factors of 44 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 44 would be the two numbers which, when multiplied, give 44 as the result.

The following table represents the calculation of factors of 44 in pairs:

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

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 44. They are called negative pair factors.

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

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of factors

  • Each number is a factor of itself. Eg. 44 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 44.
  • Every number is a factor of zero (0), since 44 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, 11, 22, 44 are exact divisors of 44.
  • Factors of 44 are 1, 2, 4, 11, 22, 44. Each factor divides 44 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 11, 22, 44 are all less than or equal to 44.

Frequently Asked Questions

  • What is prime factorization of 44?

    Prime factorization of 44 is 2 x 2 x 11.

  • How do you find factors of a negative number? ( eg. -44 )?

    Factors of -44 are -1, -2, -4, -11, -22, -44.

  • What are the prime factors of 44?

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

  • What are pair factors of 44?

    The pair factors of 44 are (1,44), (2,22), (4,11).

  • What is the greatest prime factors of 44?

    The greatest prime factor of 44 is 11.

  • What are six multiples of 44?

    First five multiples of 44 are 88, 132, 176, 220, 264, 308.

  • What are factors of 44?

    Factors of 44 are 1, 2, 4, 11, 22, 44.

  • Which is the smallest prime factor of 44?

    Smallest prime factor of 44 is 2.

  • Is 44 a whole number?

    Yes 44 is a whole number.

Examples of Factors

Kevin has been asked to write 5 factor(s) of 44. Can you predict the answer?

5 factor(s) of 44 are 1, 2, 4, 11, 22.

Sammy is puzzled while calculating the prime factors of 44. Can you help him find them?

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

What is prime factorization of 44?

Prime factorization of 44 is 2 x 2 x 11 = 22 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 44. Can you help her?

Prime factors of 44 are 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 44?

Factors of 44 are 1, 2, 4, 11, 22, 44.
Even factors of 44 are 2, 4, 22, 44.
Hence, product of even factors of 44 is; 2 x 4 x 22 x 44 = 7744.

Joy wants to calculate mean of all the factors of 44. Help him in finding the mean of 44.

Factors of 44 are 1, 2, 4, 11, 22, 44.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 44 is 1 + 2 + 4 + 11 + 22 + 44 = 84.
Hence, the mean of factors of 44 is 84 ÷ 6 = 14.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 44? Help her in writing all the factors.

Positive factors are 1, 2, 4, 11, 22, 44.
Negative factors are -1, -2, -4, -11, -22, -44.