# Factors of 480

Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, and 480

#### How to find factors of a number

 1.   Find factors of 480 using Division Method 2.   Find factors of 480 using Prime Factorization 3.   Find factors of 480 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 480

• Divide 480 by 1: 480 ÷ 1 : Remainder = 0
• Divide 480 by 2: 480 ÷ 2 : Remainder = 0
• Divide 480 by 3: 480 ÷ 3 : Remainder = 0
• Divide 480 by 4: 480 ÷ 4 : Remainder = 0
• Divide 480 by 5: 480 ÷ 5 : Remainder = 0
• Divide 480 by 6: 480 ÷ 6 : Remainder = 0
• Divide 480 by 8: 480 ÷ 8 : Remainder = 0
• Divide 480 by 10: 480 ÷ 10 : Remainder = 0
• Divide 480 by 12: 480 ÷ 12 : Remainder = 0
• Divide 480 by 15: 480 ÷ 15 : Remainder = 0
• Divide 480 by 16: 480 ÷ 16 : Remainder = 0
• Divide 480 by 20: 480 ÷ 20 : Remainder = 0
• Divide 480 by 24: 480 ÷ 24 : Remainder = 0
• Divide 480 by 30: 480 ÷ 30 : Remainder = 0
• Divide 480 by 32: 480 ÷ 32 : Remainder = 0
• Divide 480 by 40: 480 ÷ 40 : Remainder = 0
• Divide 480 by 48: 480 ÷ 48 : Remainder = 0
• Divide 480 by 60: 480 ÷ 60 : Remainder = 0
• Divide 480 by 80: 480 ÷ 80 : Remainder = 0
• Divide 480 by 96: 480 ÷ 96 : Remainder = 0
• Divide 480 by 120: 480 ÷ 120 : Remainder = 0
• Divide 480 by 160: 480 ÷ 160 : Remainder = 0
• Divide 480 by 240: 480 ÷ 240 : Remainder = 0
• Divide 480 by 480: 480 ÷ 480 : Remainder = 0

Hence, Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, and 480

#### 2. Steps to find factors of 480 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 480 using the division method, follow these steps:

• Step 1. Start dividing 480 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 480, which is 2. Divide 480 by 2 to obtain the quotient (240).
480 ÷ 2 = 240
• Step 3. Repeat step 1 with the obtained quotient (240).
240 ÷ 2 = 120
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1

So, the prime factorization of 480 is, 480 = 2 x 2 x 2 x 2 x 2 x 3 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 480 as shown below:

So, the prime factorization of 480 is, 480 = 2 x 2 x 2 x 2 x 2 x 3 x 5.

#### 3. Find factors of 480 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 480 would be the two numbers which, when multiplied, give 480 as the result.

The following table represents the calculation of factors of 480 in pairs:

Factor Pair Pair Factorization
1 and 480 1 x 480 = 480
2 and 240 2 x 240 = 480
3 and 160 3 x 160 = 480
4 and 120 4 x 120 = 480
5 and 96 5 x 96 = 480
6 and 80 6 x 80 = 480
8 and 60 8 x 60 = 480
10 and 48 10 x 48 = 480
12 and 40 12 x 40 = 480
15 and 32 15 x 32 = 480
16 and 30 16 x 30 = 480
20 and 24 20 x 24 = 480

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 480. They are called negative pair factors.

Hence, the negative pairs of 480 would be ( -1 , -480 ) , ( -2 , -240 ) , ( -3 , -160 ) , ( -4 , -120 ) , ( -5 , -96 ) , ( -6 , -80 ) , ( -8 , -60 ) , ( -10 , -48 ) , ( -12 , -40 ) , ( -15 , -32 ) , ( -16 , -30 ) and ( -20 , -24 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 480 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 480.
• Every number is a factor of zero (0), since 480 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, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480 are exact divisors of 480.
• Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480. Each factor divides 480 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480 are all less than or equal to 480.

• What are the prime factors of 480?

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.
Prime factors of 480 are 2, 2, 2, 2, 2, 3, 5.

• What two numbers make 480?

Two numbers that make 480 are 2 and 240.

• What is the greatest prime factors of 480?

The greatest prime factor of 480 is 5.

• What are factors of 480?

Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.

• How do you find factors of a negative number? ( eg. -480 )?

Factors of -480 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -80, -96, -120, -160, -240, -480.

• What are five multiples of 480?

First five multiples of 480 are 960, 1440, 1920, 2400, 2880.

• Write some multiples of 480?

First five multiples of 480 are 960, 1440, 1920, 2400.

• Is 480 a perfect square?

No 480 is not a perfect square.

• What two numbers make 480?

Two numbers that make 480 are 2 and 240.

#### Examples of Factors

What is prime factorization of 480?

Prime factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5 = 25 x 3 x 5.

Sammy is puzzled while calculating the prime factors of 480. Can you help him find them?

Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.
Prime factors of 480 are 2, 2, 2, 2, 2, 3, 5

Kevin has been asked to write 23 factor(s) of 480. Can you predict the answer?

23 factor(s) of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240.

Joey wants to write all the prime factors of 480 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 480 are 2, 2, 2, 2, 2, 3, 5.
So in exponential form it can be written as 25 x 3 x 5.

How many factors are there for 480?

Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.
So there are in total 24 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 480? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -80, -96, -120, -160, -240, -480.

Can you help Rubel to find out the product of the even factors of 480?

Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.
Even factors of 480 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.
Hence, product of even factors of 480 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 60 x 80 x 96 x 120 x 160 x 240 x 480 = 6.64832635991501e+29.