What are the Factors of 490?

What are the Factors of 490?

The following are the different types of factors of 490:

• Factors of 490: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

• Negative Factors of 490: -1, -2, -5, -7, -10, -14, -35, -49, -70, -98, -245, -490

• Prime Factors of 490: 2, 5, 7

• Prime Factorization of 490: $2^1\times5^1\times7^2$

Factors by Division Method

To calculate the factors of 490, 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: 490 ÷ 2 = 245
Step 2: 245 ÷ 5 = 49
Step 3: 49 ÷ 7 = 7
Step 4: 7 ÷ 7 = 1

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

• Prime Factors of 490: $2\times5\times7\times7$

• Prime Factorization of 490: $2^1\times5^1\times7^2$

The factors will be all the multiples of 1, 2, 5, 7, 7, 49, 245, 490

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
35 = 5 x 7
49 = 1 x 49
70 = 1 x 2 x 5 x 7
98 = 2 x 49
245 = 1 x 245
490 = 1 x 490

Finally Factors of 490 = 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490