Factors of 168
We have to find the factors of number 168. Factors are the numbers which when divided by number 168 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 168:
1) Firstly we divide given number 168 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 168:
Here,
We get factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168.
We know,
A number which has more than two factors is called composite number.
A number 168 has more than two factors.
Hence, 168 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 168 we get 2^3 ,3 and 7 are the prime number.
Now we find prime factorization of 168 by using LCM.
Prime factors of 168 = 2 x 2 x 2 x 3 x 7
Prime factors of 168 =2^3 x 3^1 x 7^1
There are 16 factors of 168 i.e.1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 168:1 x 168, 2 x 84, 3 x 56, 4 x 42, 6 x 28, 7 x 24, 8 x 21, or 12 x 14.
Pairs of factors of 168: (1, 168) (2, 84), (3, 56), (4, 42), (6, 28), (7, 24), (8, 21), (11, 14).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 168 (1, 168) (2, 84), (3, 56), (4, 42), (6, 28), (7, 24), (8, 21), (11, 14).
All factors of 168 =
- Prime factor of 168 = 2^3 x 3^1 x 7^1
- Sum of all factors of 168 =1+ 2+ 3+ 4+ 6+7+ 8+ 12+ 14+ 21+24+ 28+ 42+ 56+ 84+168.=
Pairs of factors of 168: (1, 168) (2, 84), (3, 56), (4, 42), (6, 28), (7, 24), (8, 21), (11, 14).
and (168, 1) (84, 2), (56,3),(42, 4) ,(28,6),(24,7),(21,8),(14,11) is same.