Factors of 249

2. Steps to find factors of 249 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 249 using the division method, follow these steps:

• Step 1. Start dividing 249 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 249, which is 3. Divide 249 by 3 to obtain the quotient (83).
  249 ÷ 3 = 83
• Step 3. Repeat step 1 with the obtained quotient (83).
  83 ÷ 83 = 1

So, the prime factorization of 249 is, 249 = 3 x 83.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 249 as shown below:

So, the prime factorization of 249 is, 249 = 3 x 83.

3. Find factors of 249 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 249 would be the two numbers which, when multiplied, give 249 as the result.

The following table represents the calculation of factors of 249 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 249. They are called negative pair factors.

Hence, the negative pairs of 249 would be ( -1 , -249 ) , ( -3 , -83 ) .

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 factor of a number is an exact divisor of that number, example 1, 3, 83, 249 are exact divisors of 249.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 249 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 249.

Frequently Asked Questions

• How do you find factors of a negative number? ( eg. -249 )?

  Factors of -249 are -1, -3, -83, -249.

• What is the sum of all factors of 249?

  The sum of all factors of 249 is 336.

• What is prime factorization of 249?

  Prime factorization of 249 is 3 x 83.

• What are the pair factors of 249?

  Pair factors of 249 are (1,249), (3,83).

• What are six multiples of 249?

  First five multiples of 249 are 498, 747, 996, 1245, 1494, 1743.

• Is 249 a whole number?

  Yes 249 is a whole number.

• Which is the smallest prime factor of 249?

  Smallest prime factor of 249 is 3.

• What are five multiples of 249?

  First five multiples of 249 are 498, 747, 996, 1245, 1494.

• Write all factors of 249?

  Factors of 249 are 1, 3, 83, 249.

Examples of Factors