What are the Factors of 350?

What are the Factors of 350?

The following are the different types of factors of 350:

• Factors of 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

• Negative Factors of 350: -1, -2, -5, -7, -10, -14, -25, -35, -50, -70, -175, -350

• Prime Factors of 350: 2, 5, 7

• Prime Factorization of 350: $2^1\times5^2\times7^1$

Factors by Division Method

To calculate the factors of 350, 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: 350 ÷ 2 = 175
Step 2: 175 ÷ 5 = 35
Step 3: 35 ÷ 5 = 7
Step 4: 7 ÷ 7 = 1

In step 4, we have reached to 1, and so, the process is stopped.

• Prime Factors of 350: $2\times5\times5\times7$

• Prime Factorization of 350: $2^1\times5^2\times7^1$

The factors will be all the multiples of 1, 2, 5, 5, 7, 35, 175, 350

Calculating all the factors:
2 = 1 x 2
5 = 1 x 5
7 = 1 x 7
10 = 1 x 2 x 5
14 = 2 x 7
25 = 5 x 5
35 = 1 x 35
50 = 1 x 2 x 5 x 5
70 = 2 x 35
175 = 1 x 175
350 = 1 x 350

Finally Factors of 350 = 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350