Factors of 44 Using Prime Factorization
What are the Factors of 44?
The factors of 44 are those integers that divide 44 without leaving any remainder. In other words, we can say that the factors of 44 will divide it exactly. The factors cannot be decimals or fractions. The quotient obtained on dividing 44 by its factor is also a factor of 44.
Factors of 44
For example, 4 is a factor of 44 because when we divide 44 by 4, no remainder is left. The quotient in this division is 11, which is also a factor of 44.
Factor List for the Number 44
Prime Factorization of 44
A factor tree can be used to determine the prime factors of 44, as shown in the figure below:
The prime factorization of 44 is \(2\times2\times11=2^2\times11\).
This means that 2 and 11 are the only prime factors of 44.
Factor Pairs of 44
The factor pair of any number is a set of two factors of the number that, when multiplied, result in that number.
The factor pair of 44 is a pair of factors of 44 that, when multiplied, gives 44 as the product.
Read More:
Rapid Recall
Solved Factors of 44 Examples
Example 1: 44 pancakes are distributed evenly among a group of 11 children. Find out the number of pancakes each child will get.
Solution:
Number of children = 11
Number of pancakes = 44
Since 11 is a factor of 44, the pancakes can be divided equally.
Dividing 44 by 11;
44 \(\div\) 11 = 4R0
Hence, each child will get 4 pancakes.
Example 2: What are the common factors of 44 and 18?
Solution:
The factors of 44 are 1, 2, 4, 11, 22 and 44
The factors of 18 are 1, 2, 3, 6, 9 and 18.
So, the common factors of 44 and 18 are 1 and 2.
Example 3: Find out the common factors of 44 and 72.
Solution:
The factors of 44 are 1, 2, 4, 11, 22 and 44
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
Therefore, the common factors of 44 and 72 are 1, 2 and 4.
The prime factorisation of 44 is \(2^2\times11\)
So, the prime factors of 44 are 2 and 11.
Yes, 44 is a composite number as it has factors other than 1 and itself. In other words, the number 44 has more than two factors. Its factors are 2, 4, 11 and 22, other than 1 and 44.
The factors of 44 are 1, 2, 4, 11, 22 and 44.
So, the smallest factor of 44 is 1, and the greatest factor is 44 itself.
The factors of 44 are 1, 2, 4, 11, 22 and 44.
The sum of all the factors of 44 is = 1 + 2 + 4 + 11 + 22 + 44 = 84
Hence, the sum is 84.
The factors of 44 are 1, 2, 4, 11, 22 and 44.
So, the number 44 has 6 factors.