What are the Factors of 175?

Answer: Factors of 175 are 1, 5, 7, 25, 35, 175

What are the Factors of 175?

The following are the different types of factors of 175:

• Factors of 175: 1, 5, 7, 25, 35, 175

• Negative Factors of 175: -1, -5, -7, -25, -35, -175

• Prime Factors of 175: 5, 7

• Prime Factorization of 175: 52×715^2\times7^1

Factors by Division Method

To calculate the factors of 175, start by dividing the numbers by the smallest prime number, which is 2. If the number is not divisible by 2, proceed to the next prime number, such as 3, 5, 7, 11, 13, and continue this process until you reach 1.


Step 1: 175 ÷ 5 = 35
Step 2: 35 ÷ 5 = 7
Step 3: 7 ÷ 7 = 1

In step 3, we have reached to 1, and so, the process is stopped.

• Prime Factors of 175: 5×5×75\times5\times7

• Prime Factorization of 175: 52×715^2\times7^1

The factors will be all the multiples of 1, 5, 5, 7, 35, 175

Calculating all the factors:
5 = 1 x 5
7 = 1 x 7
25 = 1 x 5 x 5
35 = 1 x 35
175 = 1 x 175

Finally Factors of 175 = 1, 5, 7, 25, 35, 175