# Factors of 16000

Factors of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, and 16000

#### How to find factors of a number

 1.   Find factors of 16000 using Division Method 2.   Find factors of 16000 using Prime Factorization 3.   Find factors of 16000 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 16000

• Divide 16000 by 1: 16000 ÷ 1 : Remainder = 0
• Divide 16000 by 2: 16000 ÷ 2 : Remainder = 0
• Divide 16000 by 4: 16000 ÷ 4 : Remainder = 0
• Divide 16000 by 5: 16000 ÷ 5 : Remainder = 0
• Divide 16000 by 8: 16000 ÷ 8 : Remainder = 0
• Divide 16000 by 10: 16000 ÷ 10 : Remainder = 0
• Divide 16000 by 16: 16000 ÷ 16 : Remainder = 0
• Divide 16000 by 20: 16000 ÷ 20 : Remainder = 0
• Divide 16000 by 25: 16000 ÷ 25 : Remainder = 0
• Divide 16000 by 32: 16000 ÷ 32 : Remainder = 0
• Divide 16000 by 40: 16000 ÷ 40 : Remainder = 0
• Divide 16000 by 50: 16000 ÷ 50 : Remainder = 0
• Divide 16000 by 64: 16000 ÷ 64 : Remainder = 0
• Divide 16000 by 80: 16000 ÷ 80 : Remainder = 0
• Divide 16000 by 100: 16000 ÷ 100 : Remainder = 0
• Divide 16000 by 125: 16000 ÷ 125 : Remainder = 0
• Divide 16000 by 128: 16000 ÷ 128 : Remainder = 0
• Divide 16000 by 160: 16000 ÷ 160 : Remainder = 0
• Divide 16000 by 200: 16000 ÷ 200 : Remainder = 0
• Divide 16000 by 250: 16000 ÷ 250 : Remainder = 0
• Divide 16000 by 320: 16000 ÷ 320 : Remainder = 0
• Divide 16000 by 400: 16000 ÷ 400 : Remainder = 0
• Divide 16000 by 500: 16000 ÷ 500 : Remainder = 0
• Divide 16000 by 640: 16000 ÷ 640 : Remainder = 0
• Divide 16000 by 800: 16000 ÷ 800 : Remainder = 0
• Divide 16000 by 1000: 16000 ÷ 1000 : Remainder = 0
• Divide 16000 by 1600: 16000 ÷ 1600 : Remainder = 0
• Divide 16000 by 2000: 16000 ÷ 2000 : Remainder = 0
• Divide 16000 by 3200: 16000 ÷ 3200 : Remainder = 0
• Divide 16000 by 4000: 16000 ÷ 4000 : Remainder = 0
• Divide 16000 by 8000: 16000 ÷ 8000 : Remainder = 0
• Divide 16000 by 16000: 16000 ÷ 16000 : Remainder = 0

Hence, Factors of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, and 16000

#### 2. Steps to find factors of 16000 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 16000 using the division method, follow these steps:

• Step 1. Start dividing 16000 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 16000, which is 2. Divide 16000 by 2 to obtain the quotient (8000).
16000 ÷ 2 = 8000
• Step 3. Repeat step 1 with the obtained quotient (8000).
8000 ÷ 2 = 4000
4000 ÷ 2 = 2000
2000 ÷ 2 = 1000
1000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 16000 is, 16000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 16000 as shown below:

So, the prime factorization of 16000 is, 16000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5.

#### 3. Find factors of 16000 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 16000 would be the two numbers which, when multiplied, give 16000 as the result.

The following table represents the calculation of factors of 16000 in pairs:

Factor Pair Pair Factorization
1 and 16000 1 x 16000 = 16000
2 and 8000 2 x 8000 = 16000
4 and 4000 4 x 4000 = 16000
5 and 3200 5 x 3200 = 16000
8 and 2000 8 x 2000 = 16000
10 and 1600 10 x 1600 = 16000
16 and 1000 16 x 1000 = 16000
20 and 800 20 x 800 = 16000
25 and 640 25 x 640 = 16000
32 and 500 32 x 500 = 16000
40 and 400 40 x 400 = 16000
50 and 320 50 x 320 = 16000
64 and 250 64 x 250 = 16000
80 and 200 80 x 200 = 16000
100 and 160 100 x 160 = 16000
125 and 128 125 x 128 = 16000

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 16000. They are called negative pair factors.

Hence, the negative pairs of 16000 would be ( -1 , -16000 ) , ( -2 , -8000 ) , ( -4 , -4000 ) , ( -5 , -3200 ) , ( -8 , -2000 ) , ( -10 , -1600 ) , ( -16 , -1000 ) , ( -20 , -800 ) , ( -25 , -640 ) , ( -32 , -500 ) , ( -40 , -400 ) , ( -50 , -320 ) , ( -64 , -250 ) , ( -80 , -200 ) , ( -100 , -160 ) and ( -125 , -128 ) .

#### 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. 16000 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 16000.
• Every number is a factor of zero (0), since 16000 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, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000 are exact divisors of 16000.
• Factors of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000. Each factor divides 16000 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, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000 are all less than or equal to 16000.

• Which is the smallest prime factor of 16000?

The smallest prime factor of 16000 is 2.

• Is 16000 a whole number?

Yes 16000 is a whole number.

• What are the prime factors of 16000?

The factors of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000.
Prime factors of 16000 are 2, 2, 2, 2, 2, 2, 2, 5, 5, 5.

• What two numbers make 16000?

Two numbers that make 16000 are 2 and 8000.

• What are multiples of 16000?

First five multiples of 16000 are 32000, 48000, 64000, 80000.

• What is the sum of all factors of 16000?

The sum of all factors of 16000 is 39780.

• What are five multiples of 16000?

First five multiples of 16000 are 32000, 48000, 64000, 80000, 96000.

• Is 16000 a perfect square?

No 16000 is not a perfect square.

• What is the greatest prime factors of 16000?

The greatest prime factor of 16000 is 5.

#### Examples of Factors

How many factors are there for 16000?

Factors of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000.
So there are in total 32 factors.

Kevin has been asked to write 31 factor(s) of 16000. Can you predict the answer?

31 factor(s) of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000.

Sammy is puzzled while calculating the prime factors of 16000. Can you help him find them?

Factors of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000.
Prime factors of 16000 are 2, 2, 2, 2, 2, 2, 2, 5, 5, 5

What is prime factorization of 16000?

Prime factorization of 16000 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 = 27 x 53.

Ariel has been assigned the task to find the product of all the prime factors of 16000. Can you help her?

Prime factors of 16000 are 2, 2, 2, 2, 2, 2, 2, 5, 5, 5.
Hence, the product of prime factors of 10.

Can you help Rubel to find out the product of the even factors of 16000?

Factors of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000.
Even factors of 16000 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 80, 100, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000.
Hence, product of even factors of 16000 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 250 x 320 x 400 x 500 x 640 x 800 x 1000 x 1600 x 2000 x 3200 x 4000 x 8000 x 16000 = 1.1805916207174112e+63.

Joy wants to calculate mean of all the factors of 16000. Help him in finding the mean of 16000.

Factors of 16000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 320, 400, 500, 640, 800, 1000, 1600, 2000, 3200, 4000, 8000, 16000.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 16000 is 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 64 + 80 + 100 + 125 + 128 + 160 + 200 + 250 + 320 + 400 + 500 + 640 + 800 + 1000 + 1600 + 2000 + 3200 + 4000 + 8000 + 16000 = 39780.
Hence, the mean of factors of 16000 is 39780 ÷ 32 = 1243.13.