# Factors of 488

Factors of 488 are 1, 2, 4, 8, 61, 122, 244, and 488

#### How to find factors of a number

 1.   Find factors of 488 using Division Method 2.   Find factors of 488 using Prime Factorization 3.   Find factors of 488 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 488

• Divide 488 by 1: 488 ÷ 1 : Remainder = 0
• Divide 488 by 2: 488 ÷ 2 : Remainder = 0
• Divide 488 by 4: 488 ÷ 4 : Remainder = 0
• Divide 488 by 8: 488 ÷ 8 : Remainder = 0
• Divide 488 by 61: 488 ÷ 61 : Remainder = 0
• Divide 488 by 122: 488 ÷ 122 : Remainder = 0
• Divide 488 by 244: 488 ÷ 244 : Remainder = 0
• Divide 488 by 488: 488 ÷ 488 : Remainder = 0

Hence, Factors of 488 are 1, 2, 4, 8, 61, 122, 244, and 488

#### 2. Steps to find factors of 488 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 488 using the division method, follow these steps:

• Step 1. Start dividing 488 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 488, which is 2. Divide 488 by 2 to obtain the quotient (244).
488 ÷ 2 = 244
• Step 3. Repeat step 1 with the obtained quotient (244).
244 ÷ 2 = 122
122 ÷ 2 = 61
61 ÷ 61 = 1

So, the prime factorization of 488 is, 488 = 2 x 2 x 2 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 488 as shown below:

So, the prime factorization of 488 is, 488 = 2 x 2 x 2 x 61.

#### 3. Find factors of 488 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 488 would be the two numbers which, when multiplied, give 488 as the result.

The following table represents the calculation of factors of 488 in pairs:

Factor Pair Pair Factorization
1 and 488 1 x 488 = 488
2 and 244 2 x 244 = 488
4 and 122 4 x 122 = 488
8 and 61 8 x 61 = 488

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 488. They are called negative pair factors.

Hence, the negative pairs of 488 would be ( -1 , -488 ) , ( -2 , -244 ) , ( -4 , -122 ) and ( -8 , -61 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 488 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 488.
• Every number is a factor of zero (0), since 488 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, 61, 122, 244, 488 are exact divisors of 488.
• Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. Each factor divides 488 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 61, 122, 244, 488 are all less than or equal to 488.

• What two numbers make 488?

Two numbers that make 488 are 2 and 244.

• What is prime factorization of 488?

Prime factorization of 488 is 2 x 2 x 2 x 61.

• Write some multiples of 488?

First five multiples of 488 are 976, 1464, 1952, 2440.

• Which is the smallest prime factor of 488?

The smallest prime factor of 488 is 2.

• Is 488 a perfect square?

No 488 is not a perfect square.

• What is the sum of all factors of 488?

The sum of all factors of 488 is 930.

• What are factors of 488?

Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488.

• How do you find factors of a negative number? ( eg. -488 )?

Factors of -488 are -1, -2, -4, -8, -61, -122, -244, -488.

• Is 488 a whole number?

Yes 488 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 488. Help him in finding the mean of 488.

Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 488 is 1 + 2 + 4 + 8 + 61 + 122 + 244 + 488 = 930.
Hence, the mean of factors of 488 is 930 ÷ 8 = 116.25.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 488? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 61, 122, 244, 488.
Negative factors are -1, -2, -4, -8, -61, -122, -244, -488.

Joey wants to write all the prime factors of 488 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 488 are 2, 2, 2, 61.
So in exponential form it can be written as 23 x 61.

Kevin has been asked to write 7 factor(s) of 488. Can you predict the answer?

7 factor(s) of 488 are 1, 2, 4, 8, 61, 122, 244.

Sammy is puzzled while calculating the prime factors of 488. Can you help him find them?

Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488.
Prime factors of 488 are 2, 2, 2, 61

What is prime factorization of 488?

Prime factorization of 488 is 2 x 2 x 2 x 61 = 23 x 61.

Can you help Rubel to find out the product of the even factors of 488?

Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488.
Even factors of 488 are 2, 4, 8, 122, 244, 488.
Hence, product of even factors of 488 is; 2 x 4 x 8 x 122 x 244 x 488 = 929714176.