Definition of factors of 44: If a number completely divides 44 with the remainder zero, then that number is called a factor of 44. Hence we can say that the factors of 44 are the divisors of 44. In this section, we will learn about the factors of 44 and the prime factors of 44.
Table of Contents
Highlights of Factors of 44
- 44=2×2×11 is the prime factorization of 44.
- The factors of 44 are 1, 2, 4, 11, 22, and 44.
- Prime factors of 44 are 2 and 11.
- Negative factors of 44 are –1, -2, -4, -11, -22, and –44.
What are the Factors of 44?
At first, we will find all the factors of 44 by the multiplication method. We need to write the number 44 multiplicatively in all possible ways. Note that we have:
44 = 1×44
44 = 2×22
44 = 4×11
As we cannot express 44 multiplicatively in any other way, so we will stop right now. Thus the factors of 44 in pairs are given as follows:
| 44 = a×b | Factors in Pairs (a,b) |
| 44 = 1×44 | (1, 44) |
| 44 = 2×22 | (2, 22) |
| 44 = 4×11 | (4, 11) |
Thus the pair factors of 44 are (1, 44), (2, 22), and (4, 11). As all the numbers appearing in pair factors are the factors of 44, we conclude that
|
The factors of 44 are: 1, 2, 4, 11, 22, and 44. |
Number of Factors of 44
Note that the factors of 44 are 1, 2, 4, 11, 22, and 44.
Thus the total number of factors of 44 is six.
Prime Factors of 44
From above we see that the factors of 44 are 1, 2, 4, 11, 22, and 44. 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 44 are 2 and 11.
Question: What are the factors of 44?
Video Solution:
How to Find Factors of 44?
Now we will determine the factors of 44 by division method. In this method, we will find the numbers that can divide 44 with no remainder. See that
| 44/1=44 and the remainder is 0 | ∴ 1 and 44 are factors of 44 |
| 44/2=22 and the remainder is 0 | ∴ 2 and 22 are factors of 44 |
| 44/4=11 and the remainder is 0 | ∴ 4 and 11 are factors of 44 |
Note that no numbers other than the numbers in violet color can divide 44. So the numbers in violet color, that is, 1, 2, 4, 11, 22, and 44 are the complete list of factors of 44.
