# Factors of 481

Factors of 481 are 1, 13, 37, and 481

#### How to find factors of a number

 1.   Find factors of 481 using Division Method 2.   Find factors of 481 using Prime Factorization 3.   Find factors of 481 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 481

• Divide 481 by 1: 481 ÷ 1 : Remainder = 0
• Divide 481 by 13: 481 ÷ 13 : Remainder = 0
• Divide 481 by 37: 481 ÷ 37 : Remainder = 0
• Divide 481 by 481: 481 ÷ 481 : Remainder = 0

Hence, Factors of 481 are 1, 13, 37, and 481

#### 2. Steps to find factors of 481 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 481 using the division method, follow these steps:

• Step 1. Start dividing 481 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 481, which is 13. Divide 481 by 13 to obtain the quotient (37).
481 ÷ 13 = 37
• Step 3. Repeat step 1 with the obtained quotient (37).
37 ÷ 37 = 1

So, the prime factorization of 481 is, 481 = 13 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 481 as shown below:

So, the prime factorization of 481 is, 481 = 13 x 37.

#### 3. Find factors of 481 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 481 would be the two numbers which, when multiplied, give 481 as the result.

The following table represents the calculation of factors of 481 in pairs:

Factor Pair Pair Factorization
1 and 481 1 x 481 = 481
13 and 37 13 x 37 = 481

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 481. They are called negative pair factors.

Hence, the negative pairs of 481 would be ( -1 , -481 ) , ( -13 , -37 ) .

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 13, 37, 481 are exact divisors of 481.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 481 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 481.

• Is 481 a perfect square?

No 481 is not a perfect square.

• What are factors of 481?

Factors of 481 are 1, 13, 37, 481.

• Which is greatest factor of 481?

The greatest factor of 481 is 37.

• What is the sum of all factors of 481?

The sum of all factors of 481 is 532.

• What are multiples of 481?

First five multiples of 481 are 962, 1443, 1924, 2405.

• What is the greatest prime factors of 481?

The greatest prime factor of 481 is 37.

• What are six multiples of 481?

First five multiples of 481 are 962, 1443, 1924, 2405, 2886, 3367.

• What is prime factorization of 481?

Prime factorization of 481 is 13 x 37.

• Is 481 a whole number?

Yes 481 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 481? Help her in writing all the factors.

Positive factors are 1, 13, 37, 481.
Negative factors are -1, -13, -37, -481.

Can you help Sammy find out the product of the odd factors of 481?

Factors of 481 are 1, 13, 37, 481.
Odd factors of 481 are 1, 13, 37, 481.
Hence product of odd factors of 481 is; 1 x 13 x 37 x 481 = 231361.

Joey wants to write all the prime factors of 481 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 481 are 13, 37.
So in exponential form it can be written as 13 x 37.

How many factors are there for 481?

Factors of 481 are 1, 13, 37, 481.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 481. Can you predict the answer?

3 factor(s) of 481 are 1, 13, 37.

Sammy is puzzled while calculating the prime factors of 481. Can you help him find them?

Factors of 481 are 1, 13, 37, 481.
Prime factors of 481 are 13, 37

What is prime factorization of 481?

Prime factorization of 481 is 13 x 37 = 13 x 37.