Factors of 132
We have to find the factors of number 132. Factors are the numbers which when divided by number 132 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 132:
1) Firstly we divide given number 132 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 132:
Here,
We get factors of 132 are 1, 2, 4, 8, 16, 32 and 64.
We know,
A number which has more than two factors is called composite number.
A number 132 has more than two factors.
Hence,132 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 132 we get 2and 3 are the prime number.
Now we find prime factorization of 132 by using LCM.
Prime factors of 132 = 2 x 2 x 3 x 11
Prime factors of 132 =2^2×3×11
There are 12 factors of 132 i.e.1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66 and 132
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 132: 1 x 132, 2 x 66,3×44, 4 x 33, 6×22 and 11×12
Pairs of factors of 132:(1, 132), (2, 66), (3, 44), (4, 33), (6, 22) and (11, 12).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 132:(1, 132), (2, 66), (3, 44), (4, 33), (6, 22) and (11, 12).
All factors of 132 =
- Prime factor of 132 = 2^2×3×11
- Sum of all factors of 132 = 1 + 2 + 3+ 4 +6 + 11+12+22+33+44+66+132= 335
Pairs of factors of 132: (1, 132), (2, 66), (3, 44), (4, 33), (6, 22) and (11, 12). and ( 132,1), (66,2), (44,3), (33,4), ( 22,6)and (12, 11).is same.