How To Find out the Factors of 30
We have to find the factors of number 30. Factors are the numbers which when divided by number 30 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 30:
1) Firstly we divide given number 30to 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 30:
Here,
We get factors of 30 are 1, 3, 5, 15 and 30.
We know,
A number which has more than two factors is called composite number.
A number 30 has more than two factors.
Hence, 30 is composite number.
Also We know,
A number which is not divided by any other number is called prime number.
In factors of 30 we get 2, 3 and 5 are the prime number.
Now we find prime factorization of 30 by using LCM.
Prime factors of 20 =2 x 3 x 5
Prime factors of 30 = 2 x 3 x 5
There are 5 factors of 30 i.e. 1, 3, 5, 15 and 30.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 30: 1 x 30, 2 x 15, 3 x 10, 5 x 6
Pairs of factors of 15: (1, 30), (2, 15) (3, 10)and ( 5, 6)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 30: (30, 1), (15, 2), (10, 3) (6, 5)is also same.
- All factors of 30 = 1, 2, 3, 5, 6, 15, 30.
- Prime factor of 30 = 2 x 3 x 5
- Sum of all factors of 30 = 1 + 2 + 3 + 5 + 6 + 15 + 30= 62
- Pairs of factors of 30: (1, 30), (2, 15) (3, 10)and ( 5, 6) also (30, 1), (15, 2), (10, 3) (6, 5)