Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36
Prime Factorization of 36: 2 × 2 × 3 × 3 or 22 × 32
In Maths, a divisor of any integer n, also called a factor of n, is an integer m that may be multiplied by some integer to generate n. We can also say n is a multiple of m. A factor is a number that divides the original number directly or evenly. A factor is a number that can divide a greater number evenly.
What are the Factors?
A factor is a number that can divide a greater number evenly with no remainder called a factor.
Properties of Factors
The factors of a number have the following properties:
- The number of Factors is finite
- The factor of a number is less or equal to the given number
- Every number has at least two factors 1 and the number itself except 0 and 1
- We can find any number factor with the help of Division and multiplication operation
How to Find Factors of a Number?
To find the factor of any number, we use the division method and the multiplication method
Finding Factors using Division Method
Firstly we find the factor of any number with the division method.
Example Find the Factor of 36 with the division method.
Solution –
Step 1: Divide 36 with 2
36 ÷ 2 = 18
Step 2: Again divide 18 with 2
18 ÷ 2 = 9
Step 3: Since 9 is no more divisible by 2, move to the next prime number i.e. 3
9 ÷ 3 = 3
Step 4: Finally, divide 3 with 3 to get 1.
3 ÷ 3 = 1
- First, we have to check the total number divided 36. We check it from 1 to 9 and note that the numbers divide 36 completely.
- The number which completely divides 36 without leaving a remainder is called the factor of 36. We have to note that number and make a list of its pair. All number is upto 9; We automatically get the other pair factor along with it.
For example, we have to write like
36÷1 = 36
36÷2 = 18
36÷3 = 12
36÷4 = 9
So on…
- After this list, we have all the factors of 36 starting from 1 and up there, coming down, and we go up again up to 36, it will provide a complete list of all factors of 36
Finding Factors using Multiplication Method
To find the factor of 36 we have to follow the same method we listed above with some additional changes.
Example: Find the factors of 36 using the multiplication method.
Step 1 – We must check what pair of numbers multiply to give us 36, so we divide 36 by numbers from 1 to 9.
Step 2 – We make a list of this number with its pair. From it, we automatically get another pair of factors.
1 × 36 = 36
2 × 36 = 72
So on
Step 3 – After all lists, we have the factor of 36 from 1 to up there, coming down and then going up again to 36
The Positive factor of 36 is – 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 36 in Pairs
The factors of 36 can be written in pairs.
| Factors | Positive Pair Factors |
| 1 × 36 = 36 | 1, 36 |
| 2 × 18 = 36 | 2, 18 |
| 3 × 12 = 36 | 3, 12 |
| 4 × 9 = 36 | 4, 9 |
| 6 × 6 = 36 | 6, 6 |
The Negative Factor of 36 – 1, -2, -3, -4, -6, -9, -12, -18, and -36
| Factors | Negative Pair Factors |
| -1 × -36 = 36 | -1, -36 |
| -2 × -18 = 36 | -2, -18 |
| -3 × -12 = 36 | -3, -12 |
| -4 × -9 = 36 | -4, -9 |
| -6 × -6 = 36 | -6, -6 |
FAQ
What is 36 ka prime factor?
2 & 3
What are factors 36?
So, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
What is the prime factorization of 36?
The prime factorization of 36 is 2 × 2 × 3 × 3 or 22 × 32.
What are the positive pair factors of 36?
The positive pair factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).
Write down the negative pair factors of 36?
The negative pair factors of 36 are (-1, -36), (-2, -18), (-3, -12), (-4, -9), and (-6, -6).
Which is not a factor of 36?
Therefore, 6 and 5 is not factor pair of 36.
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