Factors of 175
We have to find the factors of number 175. Factors are the numbers which when divided by number 175 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 175:
1) Firstly we divide given number 175 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 175:
Here,
We get factors of 175 are 1, 5, 7, 25, 35 and 175.
We know,
A number which has more than two factors is called composite number.
A number 175 has more than two factors.
Hence, 175 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 175 we get 5^2 and 7 are the prime number.
Now we find prime factorization of 175 by using LCM.
Prime factors of 175 = 5 x 5 x 7
Prime factors of 175 =5^2 x 7 ^1
There are 7 factors of 175 i.e. 1, 5, 7, 25, 35 and 175.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 175: 1 x 175, 5 x 35, 7 x 25.
Pairs of factors of 175 (1, 175), (5, 35) and (7, 25).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 175: (1, 175), (5, 35) and (7, 25).
All factors of 175 =
- Prime factor of 175 = 5^2 x 7 ^1
Sum of all factors of 175 = 1+ 5+ 7 +25 + 35 + 175 =248
- Pairs of factors of 175: (1, 175), (5, 35) and (7, 25). and (175, 1) (35, 5), (25, 7) is same.