# Factors of 320

Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320

#### How to find factors of a number

 1.   Find factors of 320 using Division Method 2.   Find factors of 320 using Prime Factorization 3.   Find factors of 320 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 320

• Divide 320 by 1: 320 ÷ 1 : Remainder = 0
• Divide 320 by 2: 320 ÷ 2 : Remainder = 0
• Divide 320 by 4: 320 ÷ 4 : Remainder = 0
• Divide 320 by 5: 320 ÷ 5 : Remainder = 0
• Divide 320 by 8: 320 ÷ 8 : Remainder = 0
• Divide 320 by 10: 320 ÷ 10 : Remainder = 0
• Divide 320 by 16: 320 ÷ 16 : Remainder = 0
• Divide 320 by 20: 320 ÷ 20 : Remainder = 0
• Divide 320 by 32: 320 ÷ 32 : Remainder = 0
• Divide 320 by 40: 320 ÷ 40 : Remainder = 0
• Divide 320 by 64: 320 ÷ 64 : Remainder = 0
• Divide 320 by 80: 320 ÷ 80 : Remainder = 0
• Divide 320 by 160: 320 ÷ 160 : Remainder = 0
• Divide 320 by 320: 320 ÷ 320 : Remainder = 0

Hence, Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320

#### 2. Steps to find factors of 320 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 320 using the division method, follow these steps:

• Step 1. Start dividing 320 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 320, which is 2. Divide 320 by 2 to obtain the quotient (160).
320 ÷ 2 = 160
• Step 3. Repeat step 1 with the obtained quotient (160).
160 ÷ 2 = 80
80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1

So, the prime factorization of 320 is, 320 = 2 x 2 x 2 x 2 x 2 x 2 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 320 as shown below:

So, the prime factorization of 320 is, 320 = 2 x 2 x 2 x 2 x 2 x 2 x 5.

#### 3. Find factors of 320 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 320 would be the two numbers which, when multiplied, give 320 as the result.

The following table represents the calculation of factors of 320 in pairs:

Factor Pair Pair Factorization
1 and 320 1 x 320 = 320
2 and 160 2 x 160 = 320
4 and 80 4 x 80 = 320
5 and 64 5 x 64 = 320
8 and 40 8 x 40 = 320
10 and 32 10 x 32 = 320
16 and 20 16 x 20 = 320

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 320. They are called negative pair factors.

Hence, the negative pairs of 320 would be ( -1 , -320 ) , ( -2 , -160 ) , ( -4 , -80 ) , ( -5 , -64 ) , ( -8 , -40 ) , ( -10 , -32 ) and ( -16 , -20 ) .

#### 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. 320 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 320.
• Every number is a factor of zero (0), since 320 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, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320 are exact divisors of 320.
• Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. Each factor divides 320 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320 are all less than or equal to 320.

• What are the pair factors of 320?

Pair factors of 320 are (1,320), (2,160), (4,80), (5,64), (8,40), (10,32), (16,20).

• What are five multiples of 320?

First five multiples of 320 are 640, 960, 1280, 1600, 1920.

• What two numbers make 320?

Two numbers that make 320 are 2 and 160.

• What is the sum of all factors of 320?

The sum of all factors of 320 is 762.

• What are factors of -320?

Factors of -320 are -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -64, -80, -160, -320.

• What are factors of 320?

Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320.

• Is 320 a perfect square?

No 320 is not a perfect square.

• Which is the smallest prime factor of 320?

Smallest prime factor of 320 is 2.

• Which is greatest factor of 320?

The greatest factor of 320 is 160.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 320?

Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320.
Odd factors of 320 are 1, 5.
Hence product of odd factors of 320 is; 1 x 5 = 5.

Joey wants to write all the prime factors of 320 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 320 are 2, 2, 2, 2, 2, 2, 5.
So in exponential form it can be written as 26 x 5.

How many factors are there for 320?

Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320.
So there are in total 14 factors.

Kevin has been asked to write 13 factor(s) of 320. Can you predict the answer?

13 factor(s) of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160.

Sammy is puzzled while calculating the prime factors of 320. Can you help him find them?

Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320.
Prime factors of 320 are 2, 2, 2, 2, 2, 2, 5

What is prime factorization of 320?

Prime factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5 = 26 x 5.

Can you help Rubel to find out the product of the even factors of 320?

Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320.
Even factors of 320 are 2, 4, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320.
Hence, product of even factors of 320 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 64 x 80 x 160 x 320 = 68719476736000000.