Factors of 214
We have to find the factors of number 214. Factors are the numbers which when divided by number 214 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 214:
1) Firstly we divide given number 214 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 214:
Here,
We get factors of 214 are 1, 2, 107 and 214
We know,
A number which has more than two factors is called composite number.
A number 214 has more than two factors.
Hence, 214 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 214 we get 2 and 107 are the prime number.
Now we find prime factorization of 214 by using LCM
Prime factors of 214 = 2 x 107
Prime factors of 214 = 2^1x 107^1
There are 4 factors of 214 i.e. 1, 2, 107 and 214
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 214: 1 × 214 , 107 x 2.
Pairs of factors of 214 : (1, 214), (2, 107).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 214: (1, 214), (2, 107).
All factors of 214 =
Prime factor of 214 = 2^1x 107^1
- Sum of all factors of 214 = 1+ 2+ 107 + 214.= 324
- Pairs of factors of 214 : (1, 214), (2, 107).and (214, 1), (107, 2).