How To Find out the Factors of 36
We have to find the factors of number 36. Factors are the numbers which when divided by number 36 we get the factors.
When we make pair of factors the multiplication of pair of factors gives the given number.
Steps to find Factors of 36:
1) Firstly we divide given number 36to get remainder 0.
2) After getting answers all numbers we get are called Factors of given number.
3) 1 is the only number having factor of all numbers.
4) The given number itself is the highest factor of given number.
We find factors of 36:
Here,
We get factors of 36 are 1, 2, 3, 6, 9, 18 and 36.
We know,
A number which has more than two factors is called composite number.
A number 36 has more than two factors.
Hence, 36 is composite number.
Also We know,
A number which is not divided by any other number is called prime number.
In factors of 36 we get 2and 3 are the prime number.
Now we find prime factorization of 36 by using LCM.
Prime factors of 36 = 2 x 2 x 3 x 3
Prime factors of 36 =2 x 2 x 3 x 3
There are 7 factors of 36 i.e. 1, 2, 3, 6, 9, 18 and 36.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 36: 1 x 36, 2 x 18, 3 x 12, 4 x 9, 6 x 6.
Pairs of factors of 36: (1, 36) (2, 18), (3, 12), (4, 9), (6, 6)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 36:(36, 1) (18, 2), (12, 3), (9, 4), (6, 6) is also same.
- All factors of 36 = 1, 2, 3, 6, 9, 18.
- Prime factor of 36 = 2 x 3 x 3
- Sum of all factors of 36 = 1 + 2 + 3 + 4 + 6 + 9 + 18 + 36 = 79
- Pairs of factors of 36:(1, 36) (2, 18), (3, 12), (4, 9), (6, 6) also (36, 1) (18, 2), (12, 3), (9, 4), (6, 6)