# Factors of 640

Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, and 640

#### How to find factors of a number

 1.   Find factors of 640 using Division Method 2.   Find factors of 640 using Prime Factorization 3.   Find factors of 640 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 640

• Divide 640 by 1: 640 ÷ 1 : Remainder = 0
• Divide 640 by 2: 640 ÷ 2 : Remainder = 0
• Divide 640 by 4: 640 ÷ 4 : Remainder = 0
• Divide 640 by 5: 640 ÷ 5 : Remainder = 0
• Divide 640 by 8: 640 ÷ 8 : Remainder = 0
• Divide 640 by 10: 640 ÷ 10 : Remainder = 0
• Divide 640 by 16: 640 ÷ 16 : Remainder = 0
• Divide 640 by 20: 640 ÷ 20 : Remainder = 0
• Divide 640 by 32: 640 ÷ 32 : Remainder = 0
• Divide 640 by 40: 640 ÷ 40 : Remainder = 0
• Divide 640 by 64: 640 ÷ 64 : Remainder = 0
• Divide 640 by 80: 640 ÷ 80 : Remainder = 0
• Divide 640 by 128: 640 ÷ 128 : Remainder = 0
• Divide 640 by 160: 640 ÷ 160 : Remainder = 0
• Divide 640 by 320: 640 ÷ 320 : Remainder = 0
• Divide 640 by 640: 640 ÷ 640 : Remainder = 0

Hence, Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, and 640

#### 2. Steps to find factors of 640 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 640 using the division method, follow these steps:

• Step 1. Start dividing 640 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 640, which is 2. Divide 640 by 2 to obtain the quotient (320).
640 ÷ 2 = 320
• Step 3. Repeat step 1 with the obtained quotient (320).
320 ÷ 2 = 160
160 ÷ 2 = 80
80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1

So, the prime factorization of 640 is, 640 = 2 x 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 640 as shown below:

So, the prime factorization of 640 is, 640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5.

#### 3. Find factors of 640 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 640 would be the two numbers which, when multiplied, give 640 as the result.

The following table represents the calculation of factors of 640 in pairs:

Factor Pair Pair Factorization
1 and 640 1 x 640 = 640
2 and 320 2 x 320 = 640
4 and 160 4 x 160 = 640
5 and 128 5 x 128 = 640
8 and 80 8 x 80 = 640
10 and 64 10 x 64 = 640
16 and 40 16 x 40 = 640
20 and 32 20 x 32 = 640

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 640. They are called negative pair factors.

Hence, the negative pairs of 640 would be ( -1 , -640 ) , ( -2 , -320 ) , ( -4 , -160 ) , ( -5 , -128 ) , ( -8 , -80 ) , ( -10 , -64 ) , ( -16 , -40 ) and ( -20 , -32 ) .

#### 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. 640 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 640.
• Every number is a factor of zero (0), since 640 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, 128, 160, 320, 640 are exact divisors of 640.
• Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640. Each factor divides 640 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, 128, 160, 320, 640 are all less than or equal to 640.

• What are the prime factors of 640?

The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Prime factors of 640 are 2, 2, 2, 2, 2, 2, 2, 5.

• What is the sum of all factors of 640?

The sum of all factors of 640 is 1530.

• What are the pair factors of 640?

Pair factors of 640 are (1,640), (2,320), (4,160), (5,128), (8,80), (10,64), (16,40), (20,32).

• What two numbers make 640?

Two numbers that make 640 are 2 and 320.

• What are multiples of 640?

First five multiples of 640 are 1280, 1920, 2560, 3200.

• Is 640 a perfect square?

No 640 is not a perfect square.

• Which is greatest factor of 640?

The greatest factor of 640 is 320.

• How do you factors of 640?

Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.

• What are five multiples of 640?

First five multiples of 640 are 1280, 1920, 2560, 3200, 3840.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 640?

Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Even factors of 640 are 2, 4, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Hence, product of even factors of 640 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 64 x 80 x 128 x 160 x 320 x 640 = 5.62949953421312e+21.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 640? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Negative factors are -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -64, -80, -128, -160, -320, -640.

How many factors are there for 640?

Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
So there are in total 16 factors.

Sammy is puzzled while calculating the prime factors of 640. Can you help him find them?

Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Prime factors of 640 are 2, 2, 2, 2, 2, 2, 2, 5

Joey wants to write all the prime factors of 640 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 640 are 2, 2, 2, 2, 2, 2, 2, 5.
So in exponential form it can be written as 27 x 5.

What is prime factorization of 640?

Prime factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 = 27 x 5.

Can you help Rubel to find out the product of the even factors of 640?

Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Even factors of 640 are 2, 4, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Hence, product of even factors of 640 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 64 x 80 x 128 x 160 x 320 x 640 = 5.62949953421312e+21.