# Factors of 3200

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, and 3200

#### How to find factors of a number

 1.   Find factors of 3200 using Division Method 2.   Find factors of 3200 using Prime Factorization 3.   Find factors of 3200 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 3200

• Divide 3200 by 1: 3200 ÷ 1 : Remainder = 0
• Divide 3200 by 2: 3200 ÷ 2 : Remainder = 0
• Divide 3200 by 4: 3200 ÷ 4 : Remainder = 0
• Divide 3200 by 5: 3200 ÷ 5 : Remainder = 0
• Divide 3200 by 8: 3200 ÷ 8 : Remainder = 0
• Divide 3200 by 10: 3200 ÷ 10 : Remainder = 0
• Divide 3200 by 16: 3200 ÷ 16 : Remainder = 0
• Divide 3200 by 20: 3200 ÷ 20 : Remainder = 0
• Divide 3200 by 25: 3200 ÷ 25 : Remainder = 0
• Divide 3200 by 32: 3200 ÷ 32 : Remainder = 0
• Divide 3200 by 40: 3200 ÷ 40 : Remainder = 0
• Divide 3200 by 50: 3200 ÷ 50 : Remainder = 0
• Divide 3200 by 64: 3200 ÷ 64 : Remainder = 0
• Divide 3200 by 80: 3200 ÷ 80 : Remainder = 0
• Divide 3200 by 100: 3200 ÷ 100 : Remainder = 0
• Divide 3200 by 128: 3200 ÷ 128 : Remainder = 0
• Divide 3200 by 160: 3200 ÷ 160 : Remainder = 0
• Divide 3200 by 200: 3200 ÷ 200 : Remainder = 0
• Divide 3200 by 320: 3200 ÷ 320 : Remainder = 0
• Divide 3200 by 400: 3200 ÷ 400 : Remainder = 0
• Divide 3200 by 640: 3200 ÷ 640 : Remainder = 0
• Divide 3200 by 800: 3200 ÷ 800 : Remainder = 0
• Divide 3200 by 1600: 3200 ÷ 1600 : Remainder = 0
• Divide 3200 by 3200: 3200 ÷ 3200 : Remainder = 0

Hence, Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, and 3200

#### 2. Steps to find factors of 3200 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 3200 using the division method, follow these steps:

• Step 1. Start dividing 3200 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 3200, which is 2. Divide 3200 by 2 to obtain the quotient (1600).
3200 ÷ 2 = 1600
• Step 3. Repeat step 1 with the obtained quotient (1600).
1600 ÷ 2 = 800
800 ÷ 2 = 400
400 ÷ 2 = 200
200 ÷ 2 = 100
100 ÷ 2 = 50
50 ÷ 2 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 3200 is, 3200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 3200 as shown below:

So, the prime factorization of 3200 is, 3200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.

#### 3. Find factors of 3200 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 3200 would be the two numbers which, when multiplied, give 3200 as the result.

The following table represents the calculation of factors of 3200 in pairs:

Factor Pair Pair Factorization
1 and 3200 1 x 3200 = 3200
2 and 1600 2 x 1600 = 3200
4 and 800 4 x 800 = 3200
5 and 640 5 x 640 = 3200
8 and 400 8 x 400 = 3200
10 and 320 10 x 320 = 3200
16 and 200 16 x 200 = 3200
20 and 160 20 x 160 = 3200
25 and 128 25 x 128 = 3200
32 and 100 32 x 100 = 3200
40 and 80 40 x 80 = 3200
50 and 64 50 x 64 = 3200

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 3200. They are called negative pair factors.

Hence, the negative pairs of 3200 would be ( -1 , -3200 ) , ( -2 , -1600 ) , ( -4 , -800 ) , ( -5 , -640 ) , ( -8 , -400 ) , ( -10 , -320 ) , ( -16 , -200 ) , ( -20 , -160 ) , ( -25 , -128 ) , ( -32 , -100 ) , ( -40 , -80 ) and ( -50 , -64 ) .

#### 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. 3200 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 3200.
• Every number is a factor of zero (0), since 3200 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, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200 are exact divisors of 3200.
• Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. Each factor divides 3200 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, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200 are all less than or equal to 3200.

• What are the pair factors of 3200?

Pair factors of 3200 are (1,3200), (2,1600), (4,800), (5,640), (8,400), (10,320), (16,200), (20,160), (25,128), (32,100), (40,80), (50,64).

• What are five multiples of 3200?

First five multiples of 3200 are 6400, 9600, 12800, 16000, 19200.

• What two numbers make 3200?

Two numbers that make 3200 are 2 and 1600.

• What is the sum of all factors of 3200?

The sum of all factors of 3200 is 7905.

• What are factors of -3200?

Factors of -3200 are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -64, -80, -100, -128, -160, -200, -320, -400, -640, -800, -1600, -3200.

• What are factors of 3200?

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200.

• Is 3200 a perfect square?

No 3200 is not a perfect square.

• Which is the smallest prime factor of 3200?

Smallest prime factor of 3200 is 2.

• Which is greatest factor of 3200?

The greatest factor of 3200 is 1600.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 3200?

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200.
Odd factors of 3200 are 1, 5, 25.
Hence product of odd factors of 3200 is; 1 x 5 x 25 = 125.

Joey wants to write all the prime factors of 3200 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3200 are 2, 2, 2, 2, 2, 2, 2, 5, 5.
So in exponential form it can be written as 27 x 52.

How many factors are there for 3200?

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200.
So there are in total 24 factors.

Kevin has been asked to write 23 factor(s) of 3200. Can you predict the answer?

23 factor(s) of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600.

Sammy is puzzled while calculating the prime factors of 3200. Can you help him find them?

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200.
Prime factors of 3200 are 2, 2, 2, 2, 2, 2, 2, 5, 5

What is prime factorization of 3200?

Prime factorization of 3200 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 = 27 x 52.

Can you help Rubel to find out the product of the even factors of 3200?

Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200.
Even factors of 3200 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200.
Hence, product of even factors of 3200 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 50 x 64 x 80 x 100 x 128 x 160 x 200 x 320 x 400 x 640 x 800 x 1600 x 3200 = 9.223372036854776e+39.