Factors of 212
We have to find the factors of number 212. Factors are the numbers which when divided by number 212 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 212:
1) Firstly we divide given number 212 to 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 212:
Here,
We get factors of 212 are 1, 2, 4, 53, 106, 212.
We know,
A number which has more than two factors is called composite number.
A number 212 has more than two factors.
Hence, 212 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 212 we get 2 , 2 and 53 are the prime number.
Now we find prime factorization of 212 by using LCM
Prime factors of 212 = 2 x 2 x 53
Prime factors of 212 = 2^2 x 53^1
There are 6 factors of 212 i.e. 1, 2, 4, 53, 106, 212.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 212 : 1 × 212 , 106 x 2, 53 x 4.
Pairs of factors of 212 : (1, 212), (2, 106), (4, 53).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 212: (1, 212), (2, 106), (4, 53).
All factors of 212 =
- Prime factor of 212 = 3^2 x 53^1
- Sum of all factors of 212 = 1+2+4+53+106+212.= 378
- Pairs of factors of 212 : (1, 212), (2, 106), (4, 53) and (212, 1), (106, 2) (53, 4).