# Factors of 2023

Factors of 2023 are 1, 7, 17, 119, 289, and 2023

#### How to find factors of a number

 1.   Find factors of 2023 using Division Method 2.   Find factors of 2023 using Prime Factorization 3.   Find factors of 2023 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2023

• Divide 2023 by 1: 2023 ÷ 1 : Remainder = 0
• Divide 2023 by 7: 2023 ÷ 7 : Remainder = 0
• Divide 2023 by 17: 2023 ÷ 17 : Remainder = 0
• Divide 2023 by 119: 2023 ÷ 119 : Remainder = 0
• Divide 2023 by 289: 2023 ÷ 289 : Remainder = 0
• Divide 2023 by 2023: 2023 ÷ 2023 : Remainder = 0

Hence, Factors of 2023 are 1, 7, 17, 119, 289, and 2023

#### 2. Steps to find factors of 2023 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 2023 using the division method, follow these steps:

• Step 1. Start dividing 2023 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 2023, which is 7. Divide 2023 by 7 to obtain the quotient (289).
2023 ÷ 7 = 289
• Step 3. Repeat step 1 with the obtained quotient (289).
289 ÷ 17 = 17
17 ÷ 17 = 1

So, the prime factorization of 2023 is, 2023 = 7 x 17 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2023 as shown below:

So, the prime factorization of 2023 is, 2023 = 7 x 17 x 17.

#### 3. Find factors of 2023 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 2023 would be the two numbers which, when multiplied, give 2023 as the result.

The following table represents the calculation of factors of 2023 in pairs:

Factor Pair Pair Factorization
1 and 2023 1 x 2023 = 2023
7 and 289 7 x 289 = 2023
17 and 119 17 x 119 = 2023

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 2023. They are called negative pair factors.

Hence, the negative pairs of 2023 would be ( -1 , -2023 ) , ( -7 , -289 ) and ( -17 , -119 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 2023 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, 7, 17, 119, 289, 2023 are exact divisors of 2023.
• Factors of 2023 are 1, 7, 17, 119, 289, 2023. Each factor divides 2023 without leaving a remainder.

• Which is the smallest prime factor of 2023?

The smallest prime factor of 2023 is 7.

• Is 2023 a whole number?

Yes 2023 is a whole number.

• What are the prime factors of 2023?

The factors of 2023 are 1, 7, 17, 119, 289, 2023.
Prime factors of 2023 are 7, 17, 17.

• What two numbers make 2023?

Two numbers that make 2023 are 7 and 289.

• What are multiples of 2023?

First five multiples of 2023 are 4046, 6069, 8092, 10115.

• What is the sum of all factors of 2023?

The sum of all factors of 2023 is 2456.

• What are five multiples of 2023?

First five multiples of 2023 are 4046, 6069, 8092, 10115, 12138.

• Is 2023 a perfect square?

No 2023 is not a perfect square.

• What is the greatest prime factors of 2023?

The greatest prime factor of 2023 is 17.

#### Examples of Factors

How many factors are there for 2023?

Factors of 2023 are 1, 7, 17, 119, 289, 2023.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 2023. Can you predict the answer?

5 factor(s) of 2023 are 1, 7, 17, 119, 289.

Sammy is puzzled while calculating the prime factors of 2023. Can you help him find them?

Factors of 2023 are 1, 7, 17, 119, 289, 2023.
Prime factors of 2023 are 7, 17, 17

What is prime factorization of 2023?

Prime factorization of 2023 is 7 x 17 x 17 = 7 x 172.

Ariel has been assigned the task to find the product of all the prime factors of 2023. Can you help her?

Prime factors of 2023 are 7, 17, 17.
Hence, the product of prime factors of 119.

Can you help Rubel to find out the product of the even factors of 2023?

Factors of 2023 are 1, 7, 17, 119, 289, 2023.
Even factors of 2023 are 0.
Hence, product of even factors of 2023 is; 0 = 0.

Joy wants to calculate mean of all the factors of 2023. Help him in finding the mean of 2023.

Factors of 2023 are 1, 7, 17, 119, 289, 2023.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2023 is 1 + 7 + 17 + 119 + 289 + 2023 = 2456.
Hence, the mean of factors of 2023 is 2456 ÷ 6 = 409.33.