Factors of 176
We have to find the factors of number 176. Factors are the numbers which when divided by number 176 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 176:
1) Firstly we divide given number 176 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 176:
Here,
We get factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176.
We know,
A number which has more than two factors is called composite number.
A number 176 has more than two factors.
Hence, 176 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 176 we get 2^4 and 11 are the prime number.
Now we find prime factorization of 176 by using LCM.
Prime factors of 176 = 2 x 2 x 2 x 2 x 11
Prime factors of 176 =2^4 x 11
There are 10 factors of 176 i.e. 1, 2, 4, 8, 11, 16, 22, 44, 88, 176.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 176: 1 x 76, 2 x 88, 4 x 44, 22 x 8 , 44x 4 , 11 x 16.
Pairs of factors of 176 (1, 176), (2, 88), (4, 44), (8, 22), and (11, 16).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 176: (1, 176), (2, 88), (4, 44), (8, 22), and (11, 16).
All factors of 176 =
- Prime factor of 176 = 2^4 x 11
Sum of all factors of 176 = 1+ 2+ 4+ 8+ 11+ 16+ 22+ 44+ 88+ 176= 372
- Pairs of factors of 176: (1, 176), (2, 88), (4, 44), (8, 22), (11, 16) and (176, 1), (88, 2), (44, 4), (22, 8), (16, 11) is same.