Factors of 209
We have to find the factors of number 209. Factors are the numbers which when divided by number 209 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 209:
1) Firstly we divide given number 209 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 209:
Here,
We get factors of 209 are 1, 11, 19, 209.
We know,
A number which has more than two factors is called composite number.
A number 209 has more than two factors.
Hence, 209 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 209 we get 11 and 19 are the prime number.
Now we find prime factorization of 209 by using LCM
Prime factors of 209 = 11 x 19
Prime factors of 209 = 11^1 x 19^1
There are 4 factors of 209 i.e. 1, 11, 19, 209
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 209: 1 × 209 , 11 x 19
Pairs of factors of 209: (1, 209), (11, 19).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 209: (1, 209), (11, 19).
All factors of 209 =
- Prime factor of 209 = 3^2 x 23^1
- Sum of all factors of 209 = 1 + 11 + 19 +209 = 240
Pairs of factors of 209: (1, 209) (11,19) and (209, 1) (19, 11) is same.