Factors of 195
We have to find the factors of number 195. Factors are the numbers which when divided by number 195 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 195:
1) Firstly we divide given number 195 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 195:
Here,
We get factors of 195 are 1, 3, 5, 13, 15, 39, 65 and 195.
We know,
A number which has more than two factors is called composite number.
A number 195 has more than two factors.
Hence, 195 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 195 we get 3 , 5 and 13 are the prime number.
Now we find prime factorization of 195 by using LCM.
Prime factors of 195 = 3 x 5 x 13
Prime factors of 195 =3^1 × 5^1 × 13^1
There are 8 factors of 195 i.e. 1, 3, 5, 13, 15, 39, 65 and 195.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 195: 1 x 195, 3x 65, 5 x 39,13 x 15.
Pairs of factors of 195: (1, 195), (3, 65), (5, 39), (13, 15)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 195 : (1, 195), (3, 65), (5, 39), (13, 15)
All factors of 195 =
- Prime factor of 195 = 31× 51 × 131
- Sum of all factors of 195 = 1 + 3 + 5 + 13 + 39 + 32 + 65 + 195 = 336
Pairs of factors of 195: (1, 195), (3, 65), (5, 39), (13, 15) and (195, 1) (65, 3), (39, 5),(15,13) is same.