Factors of 196
We have to find the factors of number 196. Factors are the numbers which when divided by number 64 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 196:
1) Firstly we divide given number 196 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 196:
Here,
We get factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196.
We know,
A number which has more than two factors is called composite number.
A number 196 has more than two factors.
Hence, 196 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 196 we get 2^2 and 7^2 are the prime number.
Now we find prime factorization of 196 by using LCM.
Prime factors of 196 = 2 × 2 × 7 × 7
Prime factors of 196 =2^2 × 7^2
There are 9 factors of 196 i.e. 1, 2, 4, 7, 14, 28, 49, 98, and 196.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 196 : 1 x 64, 2 x 32, 4 x 16.
Pairs of factors of 196 : (1, 196), (2, 98), (4, 49), (7, 28), (14, 14), (28,7), (49, 4), (98, 2), and (196, 1).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 196 : (1, 196), (2, 98), (4, 49), (7, 28), (14, 14), (28,7), (49, 4), (98, 2), and (196, 1).
All factors of 196 =
- Prime factor of 196 = 2^2 × 7^2
- Sum of all factors of 196 = 1 + 2 + 4 + 7 + 14 + 28 + 49 + 98 + 196 = 399
Pairs of factors of 196 : (1, 196), (2, 98), (4, 49), (7, 28), (14, 14),and (14, 14) ,(28,7), (49, 4), (98, 2), is same.