# Factors of 440

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

#### How to find factors of a number

 1.   Find factors of 440 using Division Method 2.   Find factors of 440 using Prime Factorization 3.   Find factors of 440 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 440

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

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

#### 2. Steps to find factors of 440 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 440 using the division method, follow these steps:

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

So, the prime factorization of 440 is, 440 = 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 440 as shown below:

So, the prime factorization of 440 is, 440 = 2 x 2 x 2 x 5 x 11.

#### 3. Find factors of 440 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 440 would be the two numbers which, when multiplied, give 440 as the result.

The following table represents the calculation of factors of 440 in pairs:

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

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 440. They are called negative pair factors.

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

#### 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. 440 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 440.
• Every number is a factor of zero (0), since 440 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, 20, 22, 40, 44, 55, 88, 110, 220, 440 are exact divisors of 440.
• Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. Each factor divides 440 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, 20, 22, 40, 44, 55, 88, 110, 220, 440 are all less than or equal to 440.

• What is prime factorization of 440?

Prime factorization of 440 is 2 x 2 x 2 x 5 x 11.

• How do you find factors of a negative number? ( eg. -440 )?

Factors of -440 are -1, -2, -4, -5, -8, -10, -11, -20, -22, -40, -44, -55, -88, -110, -220, -440.

• What are the prime factors of 440?

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

• What are pair factors of 440?

The pair factors of 440 are (1,440), (2,220), (4,110), (5,88), (8,55), (10,44), (11,40), (20,22).

• What is the greatest prime factors of 440?

The greatest prime factor of 440 is 11.

• What are six multiples of 440?

First five multiples of 440 are 880, 1320, 1760, 2200, 2640, 3080.

• What are factors of 440?

Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.

• Which is the smallest prime factor of 440?

Smallest prime factor of 440 is 2.

• Is 440 a whole number?

Yes 440 is a whole number.

#### Examples of Factors

Kevin has been asked to write 15 factor(s) of 440. Can you predict the answer?

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

Sammy is puzzled while calculating the prime factors of 440. Can you help him find them?

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

What is prime factorization of 440?

Prime factorization of 440 is 2 x 2 x 2 x 5 x 11 = 23 x 5 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 440. Can you help her?

Prime factors of 440 are 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 440?

Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
Even factors of 440 are 2, 4, 8, 10, 20, 22, 40, 44, 88, 110, 220, 440.
Hence, product of even factors of 440 is; 2 x 4 x 8 x 10 x 20 x 22 x 40 x 44 x 88 x 110 x 220 x 440 = 464404086784000000.

Joy wants to calculate mean of all the factors of 440. Help him in finding the mean of 440.

Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 440 is 1 + 2 + 4 + 5 + 8 + 10 + 11 + 20 + 22 + 40 + 44 + 55 + 88 + 110 + 220 + 440 = 1080.
Hence, the mean of factors of 440 is 1080 ÷ 16 = 67.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 440? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
Negative factors are -1, -2, -4, -5, -8, -10, -11, -20, -22, -40, -44, -55, -88, -110, -220, -440.