# Factors of 920

Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, and 920

#### How to find factors of a number

 1.   Find factors of 920 using Division Method 2.   Find factors of 920 using Prime Factorization 3.   Find factors of 920 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 920

• Divide 920 by 1: 920 ÷ 1 : Remainder = 0
• Divide 920 by 2: 920 ÷ 2 : Remainder = 0
• Divide 920 by 4: 920 ÷ 4 : Remainder = 0
• Divide 920 by 5: 920 ÷ 5 : Remainder = 0
• Divide 920 by 8: 920 ÷ 8 : Remainder = 0
• Divide 920 by 10: 920 ÷ 10 : Remainder = 0
• Divide 920 by 20: 920 ÷ 20 : Remainder = 0
• Divide 920 by 23: 920 ÷ 23 : Remainder = 0
• Divide 920 by 40: 920 ÷ 40 : Remainder = 0
• Divide 920 by 46: 920 ÷ 46 : Remainder = 0
• Divide 920 by 92: 920 ÷ 92 : Remainder = 0
• Divide 920 by 115: 920 ÷ 115 : Remainder = 0
• Divide 920 by 184: 920 ÷ 184 : Remainder = 0
• Divide 920 by 230: 920 ÷ 230 : Remainder = 0
• Divide 920 by 460: 920 ÷ 460 : Remainder = 0
• Divide 920 by 920: 920 ÷ 920 : Remainder = 0

Hence, Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, and 920

#### 2. Steps to find factors of 920 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 920 using the division method, follow these steps:

• Step 1. Start dividing 920 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 920, which is 2. Divide 920 by 2 to obtain the quotient (460).
920 ÷ 2 = 460
• Step 3. Repeat step 1 with the obtained quotient (460).
460 ÷ 2 = 230
230 ÷ 2 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1

So, the prime factorization of 920 is, 920 = 2 x 2 x 2 x 5 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 920 as shown below:

So, the prime factorization of 920 is, 920 = 2 x 2 x 2 x 5 x 23.

#### 3. Find factors of 920 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 920 would be the two numbers which, when multiplied, give 920 as the result.

The following table represents the calculation of factors of 920 in pairs:

Factor Pair Pair Factorization
1 and 920 1 x 920 = 920
2 and 460 2 x 460 = 920
4 and 230 4 x 230 = 920
5 and 184 5 x 184 = 920
8 and 115 8 x 115 = 920
10 and 92 10 x 92 = 920
20 and 46 20 x 46 = 920
23 and 40 23 x 40 = 920

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 920. They are called negative pair factors.

Hence, the negative pairs of 920 would be ( -1 , -920 ) , ( -2 , -460 ) , ( -4 , -230 ) , ( -5 , -184 ) , ( -8 , -115 ) , ( -10 , -92 ) , ( -20 , -46 ) and ( -23 , -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. 920 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 920.
• Every number is a factor of zero (0), since 920 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, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920 are exact divisors of 920.
• Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. Each factor divides 920 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920 are all less than or equal to 920.

• What two numbers make 920?

Two numbers that make 920 are 2 and 460.

• What is prime factorization of 920?

Prime factorization of 920 is 2 x 2 x 2 x 5 x 23.

• Write some multiples of 920?

First five multiples of 920 are 1840, 2760, 3680, 4600.

• Which is the smallest prime factor of 920?

The smallest prime factor of 920 is 2.

• Is 920 a perfect square?

No 920 is not a perfect square.

• What is the sum of all factors of 920?

The sum of all factors of 920 is 2160.

• What are factors of 920?

Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.

• How do you find factors of a negative number? ( eg. -920 )?

Factors of -920 are -1, -2, -4, -5, -8, -10, -20, -23, -40, -46, -92, -115, -184, -230, -460, -920.

• Is 920 a whole number?

Yes 920 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 920. Help him in finding the mean of 920.

Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 920 is 1 + 2 + 4 + 5 + 8 + 10 + 20 + 23 + 40 + 46 + 92 + 115 + 184 + 230 + 460 + 920 = 2160.
Hence, the mean of factors of 920 is 2160 ÷ 16 = 135.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 920? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.
Negative factors are -1, -2, -4, -5, -8, -10, -20, -23, -40, -46, -92, -115, -184, -230, -460, -920.

Joey wants to write all the prime factors of 920 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 920 are 2, 2, 2, 5, 23.
So in exponential form it can be written as 23 x 5 x 23.

Kevin has been asked to write 15 factor(s) of 920. Can you predict the answer?

15 factor(s) of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460.

Sammy is puzzled while calculating the prime factors of 920. Can you help him find them?

Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.
Prime factors of 920 are 2, 2, 2, 5, 23

What is prime factorization of 920?

Prime factorization of 920 is 2 x 2 x 2 x 5 x 23 = 23 x 5 x 23.

Can you help Rubel to find out the product of the even factors of 920?

Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920.
Even factors of 920 are 2, 4, 8, 10, 20, 40, 46, 92, 184, 230, 460, 920.
Hence, product of even factors of 920 is; 2 x 4 x 8 x 10 x 20 x 40 x 46 x 92 x 184 x 230 x 460 x 920 = 38806720086016000000.