Factors of 208
We have to find the factors of number 208. Factors are the numbers which when divided by number 208 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 208:
1) Firstly we divide given number 208 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 208:
Here,
We get factors of 208 are 1, 3, 9, 23, 69, 207.
We know,
A number which has more than two factors is called composite number.
A number 208 has more than two factors.
Hence, 208 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 208 we get 2^4 and 13 are the prime number.
Now we find prime factorization of 208 by using LCM
Prime factors of 208 = 2 x 2 x 2 x 2 x 13
Prime factors of 208 = 2^4 x 13^1
There are 6 factors of 208 i.e. 1, 3, 9, 23, 69, 207.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 208: 1 × 208 =(1, 208)
2 × 104 = (2, 104)
4 × 52 = (4, 52)
8 × 26 = (8, 26)
13 × 16 = (13, 16)
Pairs of factors of 208: (1, 207),(3, 69),(9, 23)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 208: (1, 207),(3, 69),(9, 23)
All factors of 208 =
- Prime factor of 208 = 3^2 x 23^1
- Sum of all factors of 208 = 1 + 3 +9 + 23 +69 +207 =312
Pairs of factors of 208: (1, 207) (3,69), (23,9) and (207, 1) (69, 3),(9,23) is same.