What are the Factors of 496?

Answer: Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

What are the Factors of 496?

The following are the different types of factors of 496:

• Factors of 496: 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

• Negative Factors of 496: -1, -2, -4, -8, -16, -31, -62, -124, -248, -496

• Prime Factors of 496: 2, 31

• Prime Factorization of 496: 24×3112^4\times31^1

Factors by Division Method

To calculate the factors of 496, 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: 496 ÷ 2 = 248
Step 2: 248 ÷ 2 = 124
Step 3: 124 ÷ 2 = 62
Step 4: 62 ÷ 2 = 31
Step 5: 31 ÷ 31 = 1

In step 5, we have reached to 1, and so, the process is stopped.

• Prime Factors of 496: 2×2×2×2×312\times2\times2\times2\times31

• Prime Factorization of 496: 24×3112^4\times31^1

The factors will be all the multiples of 1, 2, 2, 2, 2, 31, 62, 124, 248, 496

Calculating all the factors:
2 = 1 x 2
4 = 1 x 2 x 2
8 = 1 x 2 x 2 x 2
16 = 1 x 2 x 2 x 2 x 2
31 = 1 x 31
62 = 1 x 62
124 = 1 x 124
248 = 1 x 248
496 = 1 x 496

Finally Factors of 496 = 1, 2, 4, 8, 16, 31, 62, 124, 248, 496