Factors of 147 :
We have to find the factors of number 147. Factors are the numbers which when divided by number 147 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 147:
1) Firstly we divide given number 147 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 147:
Here,
We get factors of 147 are 1, 3, 7, 21, 49, 147
We know,
A number which has more than two factors is called composite number.
A number 147 has more than two factors.
Hence, 147 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 147 we get 7^2and 3 are the prime number.
Now we find prime factorization of 147 by using LCM.
Prime factors of 147 = 7 x 3 x 3
Prime factors of 147 =7 x 3^3
There are 6 factors of 147 i.e. 1, 3, 7, 21, 49, 147
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 147:1 x 147 = 147 · 3 x 49 = 147 · 7 x 21 = 147 · 21 x 7 = 147 · 49 x 3 = 147 · 147 x 1 = 147.
Pairs of factors of 147: (1, 147) (3, 49), (7, 21), (21, 7), (49, 3), (147, 3).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 147:1 x 147 = 147 · 3 x 49 = 147 · 7 x 21 = 147 · 21 x 7 = 147 · 49 x 3 = 147 · 147 x 1 = 147.
All factors of 147 =
- Prime factor of 147 = 7 x 3^3
- Sum of all factors of 147 = 1+3+ 7+ 21+ 49+ 147=238
- Pairs of factors of 147: (1, 147) (3, 49), (7, 21) and (21, 7), (49, 3), (147, 3) is same.