# Factors of 496

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

#### How to find factors of a number

 1.   Find factors of 496 using Division Method 2.   Find factors of 496 using Prime Factorization 3.   Find factors of 496 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 496

• Divide 496 by 1: 496 ÷ 1 : Remainder = 0
• Divide 496 by 2: 496 ÷ 2 : Remainder = 0
• Divide 496 by 4: 496 ÷ 4 : Remainder = 0
• Divide 496 by 8: 496 ÷ 8 : Remainder = 0
• Divide 496 by 16: 496 ÷ 16 : Remainder = 0
• Divide 496 by 31: 496 ÷ 31 : Remainder = 0
• Divide 496 by 62: 496 ÷ 62 : Remainder = 0
• Divide 496 by 124: 496 ÷ 124 : Remainder = 0
• Divide 496 by 248: 496 ÷ 248 : Remainder = 0
• Divide 496 by 496: 496 ÷ 496 : Remainder = 0

Hence, Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, and 496

#### 2. Steps to find factors of 496 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 496 using the division method, follow these steps:

• Step 1. Start dividing 496 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 496, which is 2. Divide 496 by 2 to obtain the quotient (248).
496 ÷ 2 = 248
• Step 3. Repeat step 1 with the obtained quotient (248).
248 ÷ 2 = 124
124 ÷ 2 = 62
62 ÷ 2 = 31
31 ÷ 31 = 1

So, the prime factorization of 496 is, 496 = 2 x 2 x 2 x 2 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 496 as shown below:

So, the prime factorization of 496 is, 496 = 2 x 2 x 2 x 2 x 31.

#### 3. Find factors of 496 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 496 would be the two numbers which, when multiplied, give 496 as the result.

The following table represents the calculation of factors of 496 in pairs:

Factor Pair Pair Factorization
1 and 496 1 x 496 = 496
2 and 248 2 x 248 = 496
4 and 124 4 x 124 = 496
8 and 62 8 x 62 = 496
16 and 31 16 x 31 = 496

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 496. They are called negative pair factors.

Hence, the negative pairs of 496 would be ( -1 , -496 ) , ( -2 , -248 ) , ( -4 , -124 ) , ( -8 , -62 ) and ( -16 , -31 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 496 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 496.
• Every number is a factor of zero (0), since 496 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 16, 31, 62, 124, 248, 496 are exact divisors of 496.
• Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. Each factor divides 496 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 31, 62, 124, 248, 496 are all less than or equal to 496.

• What are the prime factors of 496?

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496.
Prime factors of 496 are 2, 2, 2, 2, 31.

• What is the sum of all factors of 496?

The sum of all factors of 496 is 992.

• What are the pair factors of 496?

Pair factors of 496 are (1,496), (2,248), (4,124), (8,62), (16,31).

• What two numbers make 496?

Two numbers that make 496 are 2 and 248.

• What are multiples of 496?

First five multiples of 496 are 992, 1488, 1984, 2480.

• Is 496 a perfect square?

No 496 is not a perfect square.

• Which is greatest factor of 496?

The greatest factor of 496 is 248.

• How do you factors of 496?

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

• What are five multiples of 496?

First five multiples of 496 are 992, 1488, 1984, 2480, 2976.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 496?

Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496.
Even factors of 496 are 2, 4, 8, 16, 62, 124, 248, 496.
Hence, product of even factors of 496 is; 2 x 4 x 8 x 16 x 62 x 124 x 248 x 496 = 968381956096.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 496? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496.
Negative factors are -1, -2, -4, -8, -16, -31, -62, -124, -248, -496.

How many factors are there for 496?

Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496.
So there are in total 10 factors.

Sammy is puzzled while calculating the prime factors of 496. Can you help him find them?

Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496.
Prime factors of 496 are 2, 2, 2, 2, 31

Joey wants to write all the prime factors of 496 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 496 are 2, 2, 2, 2, 31.
So in exponential form it can be written as 24 x 31.

What is prime factorization of 496?

Prime factorization of 496 is 2 x 2 x 2 x 2 x 31 = 24 x 31.

Can you help Rubel to find out the product of the even factors of 496?

Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496.
Even factors of 496 are 2, 4, 8, 16, 62, 124, 248, 496.
Hence, product of even factors of 496 is; 2 x 4 x 8 x 16 x 62 x 124 x 248 x 496 = 968381956096.