Factors of 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:

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.

Frequently Asked Questions

• 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