# Factors of 880

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, and 880

#### How to find factors of a number

 1.   Find factors of 880 using Division Method 2.   Find factors of 880 using Prime Factorization 3.   Find factors of 880 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 880

• Divide 880 by 1: 880 ÷ 1 : Remainder = 0
• Divide 880 by 2: 880 ÷ 2 : Remainder = 0
• Divide 880 by 4: 880 ÷ 4 : Remainder = 0
• Divide 880 by 5: 880 ÷ 5 : Remainder = 0
• Divide 880 by 8: 880 ÷ 8 : Remainder = 0
• Divide 880 by 10: 880 ÷ 10 : Remainder = 0
• Divide 880 by 11: 880 ÷ 11 : Remainder = 0
• Divide 880 by 16: 880 ÷ 16 : Remainder = 0
• Divide 880 by 20: 880 ÷ 20 : Remainder = 0
• Divide 880 by 22: 880 ÷ 22 : Remainder = 0
• Divide 880 by 40: 880 ÷ 40 : Remainder = 0
• Divide 880 by 44: 880 ÷ 44 : Remainder = 0
• Divide 880 by 55: 880 ÷ 55 : Remainder = 0
• Divide 880 by 80: 880 ÷ 80 : Remainder = 0
• Divide 880 by 88: 880 ÷ 88 : Remainder = 0
• Divide 880 by 110: 880 ÷ 110 : Remainder = 0
• Divide 880 by 176: 880 ÷ 176 : Remainder = 0
• Divide 880 by 220: 880 ÷ 220 : Remainder = 0
• Divide 880 by 440: 880 ÷ 440 : Remainder = 0
• Divide 880 by 880: 880 ÷ 880 : Remainder = 0

Hence, Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, and 880

#### 2. Steps to find factors of 880 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 880 using the division method, follow these steps:

• Step 1. Start dividing 880 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 880, which is 2. Divide 880 by 2 to obtain the quotient (440).
880 ÷ 2 = 440
• Step 3. Repeat step 1 with the obtained quotient (440).
440 ÷ 2 = 220
220 ÷ 2 = 110
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

So, the prime factorization of 880 is, 880 = 2 x 2 x 2 x 2 x 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 880 as shown below:

So, the prime factorization of 880 is, 880 = 2 x 2 x 2 x 2 x 5 x 11.

#### 3. Find factors of 880 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 880 would be the two numbers which, when multiplied, give 880 as the result.

The following table represents the calculation of factors of 880 in pairs:

Factor Pair Pair Factorization
1 and 880 1 x 880 = 880
2 and 440 2 x 440 = 880
4 and 220 4 x 220 = 880
5 and 176 5 x 176 = 880
8 and 110 8 x 110 = 880
10 and 88 10 x 88 = 880
11 and 80 11 x 80 = 880
16 and 55 16 x 55 = 880
20 and 44 20 x 44 = 880
22 and 40 22 x 40 = 880

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 880. They are called negative pair factors.

Hence, the negative pairs of 880 would be ( -1 , -880 ) , ( -2 , -440 ) , ( -4 , -220 ) , ( -5 , -176 ) , ( -8 , -110 ) , ( -10 , -88 ) , ( -11 , -80 ) , ( -16 , -55 ) , ( -20 , -44 ) and ( -22 , -40 ) .

#### 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. 880 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 880.
• Every number is a factor of zero (0), since 880 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, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880 are exact divisors of 880.
• Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. Each factor divides 880 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880 are all less than or equal to 880.

• Which is the smallest prime factor of 880?

The smallest prime factor of 880 is 2.

• Is 880 a whole number?

Yes 880 is a whole number.

• What are the prime factors of 880?

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
Prime factors of 880 are 2, 2, 2, 2, 5, 11.

• What two numbers make 880?

Two numbers that make 880 are 2 and 440.

• What are multiples of 880?

First five multiples of 880 are 1760, 2640, 3520, 4400.

• What is the sum of all factors of 880?

The sum of all factors of 880 is 2232.

• What are five multiples of 880?

First five multiples of 880 are 1760, 2640, 3520, 4400, 5280.

• Is 880 a perfect square?

No 880 is not a perfect square.

• What is the greatest prime factors of 880?

The greatest prime factor of 880 is 11.

#### Examples of Factors

How many factors are there for 880?

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
So there are in total 20 factors.

Kevin has been asked to write 19 factor(s) of 880. Can you predict the answer?

19 factor(s) of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440.

Sammy is puzzled while calculating the prime factors of 880. Can you help him find them?

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
Prime factors of 880 are 2, 2, 2, 2, 5, 11

What is prime factorization of 880?

Prime factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11 = 24 x 5 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 880. Can you help her?

Prime factors of 880 are 2, 2, 2, 2, 5, 11.
Hence, the product of prime factors of 110.

Can you help Rubel to find out the product of the even factors of 880?

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
Even factors of 880 are 2, 4, 8, 10, 16, 20, 22, 40, 44, 80, 88, 110, 176, 220, 440, 880.
Hence, product of even factors of 880 is; 2 x 4 x 8 x 10 x 16 x 20 x 22 x 40 x 44 x 80 x 88 x 110 x 176 x 220 x 440 x 880 = 9.206643835021558e+25.

Joy wants to calculate mean of all the factors of 880. Help him in finding the mean of 880.

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 880 is 1 + 2 + 4 + 5 + 8 + 10 + 11 + 16 + 20 + 22 + 40 + 44 + 55 + 80 + 88 + 110 + 176 + 220 + 440 + 880 = 2232.
Hence, the mean of factors of 880 is 2232 ÷ 20 = 111.60.