Factors of 172
We have to find the factors of number 172. Factors are the numbers which when divided by number 172 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 172:
1) Firstly we divide given number 172 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 172:
Here,
We get factors of 172 are 1, 2, 4, 43, 86, 172
We know,
A number which has more than two factors is called composite number.
A number 172 has more than two factors.
Hence, 172 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 172 we get 2 and 3 are the prime number.
Now we find prime factorization of 172 by using LCM.
Prime factors of 172 = 2 x 2 x 43
Prime factors of 172 =2^2 x 43
There are 6 factors of 172 i.e. 1, 2, 4, 43, 86, 172.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 172: 1 x 172, 2 x 84, 4 x 43.
Pairs of factors of 172 : (1, 172), (2, 86), (4, 43)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 172: (1, 172), (2, 86), (4, 43)
All factors of 172 =
- Prime factor of 172 = 2^2 x 43
- Sum of all factors of 172 = 1 + 2 + 4 + 8 + 16 + 32 + 64 = 124
Pairs of factors of 172: (1, 172), (2, 86), (4, 43) and (172, 1) (86, 2), (43, 4) is same.