# Factors of 239

Factors of 239 are 1 and 239

#### How to find factors of a number

 1.   Find factors of 239 using Division Method 2.   Find factors of 239 using Prime Factorization 3.   Find factors of 239 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 239

• Divide 239 by 1: 239 ÷ 1 : Remainder = 0
• Divide 239 by 239: 239 ÷ 239 : Remainder = 0

Hence, Factors of 239 are 1 and 239

#### 2. Steps to find factors of 239 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 239 using the division method, follow these steps:

• Step 1. Start dividing 239 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 239, which is 239. Divide 239 by 239 to obtain the quotient (1).
239 ÷ 239 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 239 is, 239 = 239.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 239 as shown below:

So, the prime factorization of 239 is, 239 = 239.

#### 3. Find factors of 239 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 239 would be the two numbers which, when multiplied, give 239 as the result.

The following table represents the calculation of factors of 239 in pairs:

Factor Pair Pair Factorization
1 and 239 1 x 239 = 239

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 239. They are called negative pair factors.

Hence, the negative pairs of 239 would be ( -1 , -239 ) , .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every number is a factor of zero (0), since 239 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, 239 are exact divisors of 239.
• Factors of 239 are 1, 239. Each factor divides 239 without leaving a remainder.

• What are the pair factors of 239?

Pair factors of 239 are (1,239).

• What are five multiples of 239?

First five multiples of 239 are 478, 717, 956, 1195, 1434.

• What two numbers make 239?

Two numbers that make 239 are 239 and 1.

• What is the sum of all factors of 239?

The sum of all factors of 239 is 240.

• What are factors of -239?

Factors of -239 are -1, -239.

• What are factors of 239?

Factors of 239 are 1, 239.

• Is 239 a perfect square?

No 239 is not a perfect square.

• Which is the smallest prime factor of 239?

Smallest prime factor of 239 is 239.

• Which is greatest factor of 239?

The greatest factor of 239 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 239?

Factors of 239 are 1, 239.
Odd factors of 239 are 1, 239.
Hence product of odd factors of 239 is; 1 x 239 = 239.

Joey wants to write all the prime factors of 239 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 239 are 239.
So in exponential form it can be written as 239.

How many factors are there for 239?

Factors of 239 are 1, 239.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 239. Can you predict the answer?

1 factor(s) of 239 is 1.

Sammy is puzzled while calculating the prime factors of 239. Can you help him find them?

Factors of 239 are 1, 239.
Prime factors of 239 are 239

What is prime factorization of 239?

Prime factorization of 239 is 239 = 239.

Can you help Rubel to find out the product of the even factors of 239?

Factors of 239 are 1, 239.
Even factors of 239 are 0.
Hence, product of even factors of 239 is; 0 = 0.