Factors of 205
We have to find the factors of number 205. Factors are the numbers which when divided by number 205 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 205:
1) Firstly we divide given number 205 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 205:
Here,
We get factors of 205 are 1, 5, 41 and 205.
We know,
A number which has more than two factors is called composite number.
A number 205 has more than two factors.
Hence, 205 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 205 we get 5 and 41 are the prime number.
Now we find prime factorization of 205 by using LCM.
Prime factors of 205 = 5 x 41
Prime factors of 205 =5^1 x 41^1
There are 4 factors of 205 i.e. 1, 5, 41 and 205.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 205: 1 x 205, 5 x 41
Pairs of factors of 205: (1, 205), (5, 41)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 205: (205, 1) (41, 5).
All factors of 205 =
- Prime factor of 205 = 5^1 x 41^1
- Sum of all factors of 205 = 1 + 5 + 41 +205=252
Pairs of factors of 205: (1, 205) (5, 41), and (205, 1) (41, 5) is same.