# Factors of 279

Factors of 279 are 1, 3, 9, 31, 93, and 279

#### How to find factors of a number

 1.   Find factors of 279 using Division Method 2.   Find factors of 279 using Prime Factorization 3.   Find factors of 279 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 279

• Divide 279 by 1: 279 ÷ 1 : Remainder = 0
• Divide 279 by 3: 279 ÷ 3 : Remainder = 0
• Divide 279 by 9: 279 ÷ 9 : Remainder = 0
• Divide 279 by 31: 279 ÷ 31 : Remainder = 0
• Divide 279 by 93: 279 ÷ 93 : Remainder = 0
• Divide 279 by 279: 279 ÷ 279 : Remainder = 0

Hence, Factors of 279 are 1, 3, 9, 31, 93, and 279

#### 2. Steps to find factors of 279 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 279 using the division method, follow these steps:

• Step 1. Start dividing 279 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 279, which is 3. Divide 279 by 3 to obtain the quotient (93).
279 ÷ 3 = 93
• Step 3. Repeat step 1 with the obtained quotient (93).
93 ÷ 3 = 31
31 ÷ 31 = 1

So, the prime factorization of 279 is, 279 = 3 x 3 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 279 as shown below:

So, the prime factorization of 279 is, 279 = 3 x 3 x 31.

#### 3. Find factors of 279 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 279 would be the two numbers which, when multiplied, give 279 as the result.

The following table represents the calculation of factors of 279 in pairs:

Factor Pair Pair Factorization
1 and 279 1 x 279 = 279
3 and 93 3 x 93 = 279
9 and 31 9 x 31 = 279

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 279. They are called negative pair factors.

Hence, the negative pairs of 279 would be ( -1 , -279 ) , ( -3 , -93 ) and ( -9 , -31 ) .

#### 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 279 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, 9, 31, 93, 279 are exact divisors of 279.
• Factors of 279 are 1, 3, 9, 31, 93, 279. Each factor divides 279 without leaving a remainder.

• Which is the smallest prime factor of 279?

Smallest prime factor of 279 is 3.

• Is 279 a perfect square?

No 279 is not a perfect square.

• What are five multiples of 279?

First five multiples of 279 are 558, 837, 1116, 1395, 1674.

• What is prime factorization of 279?

Prime factorization of 279 is 3 x 3 x 31.

• What are factors of 279?

Factors of 279 are 1, 3, 9, 31, 93, 279.

• How do you find factors of a negative number? ( eg. -279 )?

Factors of -279 are -1, -3, -9, -31, -93, -279.

• Is 279 a whole number?

Yes 279 is a whole number.

• Which is greatest factor of 279?

The greatest factor of 279 is 93.

• What are the prime factors of 279?

The factors of 279 are 1, 3, 9, 31, 93, 279.
Prime factors of 279 are 3, 3, 31.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 279. Can you help her?

Prime factors of 279 are 3, 3, 31.
Hence, the product of prime factors of 93.

Can you help Rubel to find out the product of the even factors of 279?

Factors of 279 are 1, 3, 9, 31, 93, 279.
Even factors of 279 are 0.
Hence, product of even factors of 279 is; 0 = 0.

Joy wants to calculate mean of all the factors of 279. Help him in finding the mean of 279.

Factors of 279 are 1, 3, 9, 31, 93, 279.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 279 is 1 + 3 + 9 + 31 + 93 + 279 = 416.
Hence, the mean of factors of 279 is 416 ÷ 6 = 69.33.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 279? Help her in writing all the factors.

Positive factors are 1, 3, 9, 31, 93, 279.
Negative factors are -1, -3, -9, -31, -93, -279.

How many factors are there for 279?

Factors of 279 are 1, 3, 9, 31, 93, 279.
So there are in total 6 factors.

Joey wants to write all the prime factors of 279 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 279 are 3, 3, 31.
So in exponential form it can be written as 32 x 31.

Kevin has been asked to write 5 factor(s) of 279. Can you predict the answer?

5 factor(s) of 279 are 1, 3, 9, 31, 93.