Factors of 200
We have to find the factors of number 200. Factors are the numbers which when divided by number 200 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 200:
1) Firstly we divide given number 200 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 200 :
Here,
We get factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.
We know,
A number which has more than two factors is called composite number.
A number 200 has more than two factors.
Hence, 200 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 200 we get 2^3, and 5^2 are the prime number.
Now we find prime factorization of 200 by using LCM.
Prime factors of 200 = 2 x 2 x 2 x 5 x 5
Prime factors of 200 =2^3 x 5^2
There are 12 factors of 200 i.e. 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.
When we make pairs of factors the multiplication of that two factors is the given number itself.
- Pairs of factors of 200: 1 × 200 ,2 × 100 ,4 × 50 ,5 × 40 ,8 × 25 ,10 × 20 .
Pairs of factors of 200: (1, 200) (2, 100), (4, 50), (5, 40) , (8, 25), (10, 20).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 200: (1, 200) (2, 100), (4, 50), (5, 40) , (8, 25), (10, 20).
All factors of 200 =
- Prime factor of 200 = 2^3 x 5^2
- Sum of all factors of 200 = 1 + 2 + 4 + 5 + 8 + 10 + 20 + 25+40 +50 + 100 + 200 = 425
Pairs of factors of 200: (1, 200) (2, 100), (4, 50), (5, 40) , (8, 25), (10, 20).and (200, 1) (100, 2), (50, 4), (40,5),(25,8),(20,10) is same.