# Factors of 339

Factors of 339 are 1, 3, 113, and 339

#### How to find factors of a number

 1.   Find factors of 339 using Division Method 2.   Find factors of 339 using Prime Factorization 3.   Find factors of 339 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 339

• Divide 339 by 1: 339 ÷ 1 : Remainder = 0
• Divide 339 by 3: 339 ÷ 3 : Remainder = 0
• Divide 339 by 113: 339 ÷ 113 : Remainder = 0
• Divide 339 by 339: 339 ÷ 339 : Remainder = 0

Hence, Factors of 339 are 1, 3, 113, and 339

#### 2. Steps to find factors of 339 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 339 using the division method, follow these steps:

• Step 1. Start dividing 339 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 339, which is 3. Divide 339 by 3 to obtain the quotient (113).
339 ÷ 3 = 113
• Step 3. Repeat step 1 with the obtained quotient (113).
113 ÷ 113 = 1

So, the prime factorization of 339 is, 339 = 3 x 113.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 339 as shown below:

So, the prime factorization of 339 is, 339 = 3 x 113.

#### 3. Find factors of 339 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 339 would be the two numbers which, when multiplied, give 339 as the result.

The following table represents the calculation of factors of 339 in pairs:

Factor Pair Pair Factorization
1 and 339 1 x 339 = 339
3 and 113 3 x 113 = 339

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 339. They are called negative pair factors.

Hence, the negative pairs of 339 would be ( -1 , -339 ) , ( -3 , -113 ) .

#### 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 339 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, 3, 113, 339 are exact divisors of 339.
• Factors of 339 are 1, 3, 113, 339. Each factor divides 339 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -339 )?

Factors of -339 are -1, -3, -113, -339.

• What is the sum of all factors of 339?

The sum of all factors of 339 is 456.

• What is prime factorization of 339?

Prime factorization of 339 is 3 x 113.

• What are the pair factors of 339?

Pair factors of 339 are (1,339), (3,113).

• What are six multiples of 339?

First five multiples of 339 are 678, 1017, 1356, 1695, 2034, 2373.

• Is 339 a whole number?

Yes 339 is a whole number.

• Which is the smallest prime factor of 339?

Smallest prime factor of 339 is 3.

• What are five multiples of 339?

First five multiples of 339 are 678, 1017, 1356, 1695, 2034.

• Write all factors of 339?

Factors of 339 are 1, 3, 113, 339.

#### Examples of Factors

Joey wants to write all the prime factors of 339 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 339 are 3, 113.
So in exponential form it can be written as 3 x 113.

How many factors are there for 339?

Factors of 339 are 1, 3, 113, 339.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 339. Can you predict the answer?

3 factor(s) of 339 are 1, 3, 113.

Sammy is puzzled while calculating the prime factors of 339. Can you help him find them?

Factors of 339 are 1, 3, 113, 339.
Prime factors of 339 are 3, 113

What is prime factorization of 339?

Prime factorization of 339 is 3 x 113 = 3 x 113.

Ariel has been assigned the task to find the product of all the prime factors of 339. Can you help her?

Prime factors of 339 are 3, 113.
Hence, the product of prime factors of 339.

Can you help Rubel to find out the product of the even factors of 339?

Factors of 339 are 1, 3, 113, 339.
Even factors of 339 are 0.
Hence, product of even factors of 339 is; 0 = 0.