Factors of 210
We have to find the factors of number 210. Factors are the numbers which when divided by number 210 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 210:
1) Firstly we divide given number 210 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 210:
Here,
We get factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 and 210.
We know,
A number which has more than two factors is called composite number.
A number 210 has more than two factors.
Hence, 210 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 210 we get 2 , 3 and 5 are the prime number.
Now we find prime factorization of 210 by using LCM
Prime factors of 210 = 2 x 3 x 5
Prime factors of 210 = 2^1 x 3^1 x 5^1
There are 16 factors of 210 i.e. 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 and 210.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 210: 1 × 210 , 105 x 2, 70× 3, 42 x 5 , 35 x 6 , 30 x 7 , 10 x 21, 14x 15.
Pairs of factors of 210: (1, 210), (2, 105), (3, 70), (5, 42), (6, 35), (7, 30), (10, 21) and (14, 15).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 210: (1, 210), (2, 105), (3, 70), (5, 42), (6, 35), (7, 30), (10, 21) and (14, 15).
All factors of 210 =
- Prime factor of 210 = 3^2 x 23^1
- Sum of all factors of 210 = 1+ 2+3+ 5+ 6+7+ 10+ 14+ 15+ 21+ 30+35+ 42+ 70 +105 + 210=576
- Pairs of factors of 210 : (1, 210), (2, 105), (3, 70), (5, 42), (6, 35), (7, 30), (10, 21), (14, 15) and (210, 1), (105, 2), (70, 3), (35, 6), (30, 7) , (21, 10), (15, 14) are same
It is wrong