How To Find out the Factors of 48
We have to find the factors of number 48. Factors are the numbers which when divided by number 48 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 48:
1) Firstly we divide given number 48to 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 48:
Here,
We get factors of 48 are 1, 2, 3, 4, 6, 8, 12, 24 and 48.
We know,
A number which has more than two factors is called composite number.
A number 48 has more than two factors.
Hence, 48 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 48 we get 2and 3 are the prime number.
Now we find prime factorization of 48 by using LCM.
Prime factors of 48 = 2 x 2 x 2 x 2 x 3
Prime factors of 48 =24 x 3
There are 9factors of 48 i.e. 1, 2, 3, 4, 6, 8, 12, 24 and 48.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 48: 1 x 48, 2 x 24, 3 x 16, 4 x 12, 6 x 8,
Pairs of factors of 48: (1, 48) (2, 24), (3, 16), (4, 12), (6, 8).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 48:(48, 1) (24, 2), (16, 3), (12, 4), (8, 6) is also same.
- All factors of 48 = 1, 2, 3, 4, 6, 8, 12, 24 and 48.
- Prime factor of 48 = 24 x 3
- Sum of all factors of 48 = 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 48= 124
Pairs of factors of 48:(1, 48) (2, 24), (3, 16), (4, 12), (6, 8) and (48, 1) (24, 2), (16, 3), (12, 4), (8, 6) is also same.