How To Find out the Factors of 54
We have to find the factors of number 54. Factors are the numbers which when divided by number 54 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 54:
1) Firstly we divide given number 54to 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 54:
Here,
We get factors of 54 are 1, 2, 3, 6, 9, 18, 27 and 54.
We know,
A number which has more than two factors is called composite number.
A number 54 has more than two factors.
Hence, 54 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 54 we get 2and 3 are the prime number.
Now we find prime factorization of 54 by using LCM.
Prime factors of 54 = 2 x 3 x 3 x 3
Prime factors of 54 =2 x 33
There are 8factors of 54 i.e. 1, 2, 3, 6, 9, 18, 27 and 54.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 54: 1 x 54, 2 x 27, 3 x 18, 6 x 9.
Pairs of factors of 54: (1, 54) (2, 27), (3, 18), (6, 9).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 54:(54, 1) (27, 2), (18, 3), (9, 6)is also same.
- All factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54.
- Prime factor of 54 = 2 x 33
- Sum of all factors of 54 = 1 + 2 + 3 + 6 + 9 + 18 + 27 + 54 = 120
Pairs of factors of 54:(1, 54) (2, 27), (3, 18), (6, 9) and (54, 1) (27, 2), (18, 3), (9, 6) is also same.