Factors of 162
We have to find the factors of number 162. 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 162:
1) Firstly we divide given number 162 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 162:
Here,
We get factors of 162 are 1, 2, 3, 9, 27, 54, 81 and 162.
We know,
A number which has more than two factors is called composite number.
A number 162 has more than two factors.
Hence, 162 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 162 we get 2 and 81 are the prime number.
Now we find prime factorization of 162 by using LCM.
Prime factors of 162 = 2 x 9 x 3 x 3
Prime factors of 162 =2^1 x 9^1 x 3^2
There are 8 factors of 162 i.e. 1, 2, 3, 9, 27, 54, 81 and 162.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 162: 1 x 162, 2 x 81, 3 x 54, 6 x 27, 9 x 18
. Pairs of factors of 162: (1, 162) (2, 81), (3, 54), (6, 27), (9, 18).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 162: (1, 162) (2, 81), (3, 54), (6, 27), (9, 18).
All factors of 162 =
- Prime factor of 162 =2^1 x 9^1 x 3^2
- Sum of all factors of 162 = 1+ 2+ 3 + 9+ 27+ 54+ 81+ 162= 339
- Pairs of factors of 162: (1, 162) (2, 81), (3, 54), (6, 27), (9, 18). and (162, 1) (82, 2), (54, 3),(27,6),(18,9) is same.