Factors of 189
We have to find the factors of number 189. Factors are the numbers which when divided by number 188 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 189 :
1) Firstly we divide given number 189 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 189 :
Here,
We get factors of 189 are 1, 3, 7, 9, 21, 27, 63, and 189.
We know,
A number which has more than two factors is called composite number.
A number 189 has more than two factors.
Hence, 189 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 189 we get 7 and 3^3 are the prime number.
Now we find prime factorization of 189 by using LCM.
Prime factors of 189 = 3 x 3 x 3 x 7
Prime factors of 189 =3^3 x 7
There are 8 factors of 189 i.e. 1, 3, 7, 9, 21, 27, 63, and 189.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 189 : 1 x 189, 3 x 63, 7 x 27, 9 x 21.
Pairs of factors of 189 : (1, 189), (3, 63), (7, 27), (9, 21)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 189 : (1, 189), (3, 63), (7, 27), (9, 21)
All factors of 189 =
- Prime factor of 189 = 3^3 x 7
- Sum of all factors of 189 = 1 + 3 + 7 + 9 + 21 + 27 + 63 + 189 = 320
Pairs of factors of 189 : (1, 189), (3, 63), (7, 27), (9, 21) and (189, 1) (63, 3), (27, 7),(21,9) is same.