# Factors of 1079

Factors of 1079 are 1, 13, 83, and 1079

#### How to find factors of a number

 1.   Find factors of 1079 using Division Method 2.   Find factors of 1079 using Prime Factorization 3.   Find factors of 1079 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1079

• Divide 1079 by 1: 1079 ÷ 1 : Remainder = 0
• Divide 1079 by 13: 1079 ÷ 13 : Remainder = 0
• Divide 1079 by 83: 1079 ÷ 83 : Remainder = 0
• Divide 1079 by 1079: 1079 ÷ 1079 : Remainder = 0

Hence, Factors of 1079 are 1, 13, 83, and 1079

#### 2. Steps to find factors of 1079 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 1079 using the division method, follow these steps:

• Step 1. Start dividing 1079 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 1079, which is 13. Divide 1079 by 13 to obtain the quotient (83).
1079 ÷ 13 = 83
• Step 3. Repeat step 1 with the obtained quotient (83).
83 ÷ 83 = 1

So, the prime factorization of 1079 is, 1079 = 13 x 83.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1079 as shown below:

So, the prime factorization of 1079 is, 1079 = 13 x 83.

#### 3. Find factors of 1079 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 1079 would be the two numbers which, when multiplied, give 1079 as the result.

The following table represents the calculation of factors of 1079 in pairs:

Factor Pair Pair Factorization
1 and 1079 1 x 1079 = 1079
13 and 83 13 x 83 = 1079

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 1079. They are called negative pair factors.

Hence, the negative pairs of 1079 would be ( -1 , -1079 ) , ( -13 , -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 number is a factor of zero (0), since 1079 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, 13, 83, 1079 are exact divisors of 1079.
• Factors of 1079 are 1, 13, 83, 1079. Each factor divides 1079 without leaving a remainder.

• What is prime factorization of 1079?

Prime factorization of 1079 is 13 x 83.

• How do you find factors of a negative number? ( eg. -1079 )?

Factors of -1079 are -1, -13, -83, -1079.

• What are the prime factors of 1079?

The factors of 1079 are 1, 13, 83, 1079.
Prime factors of 1079 are 13, 83.

• What are pair factors of 1079?

The pair factors of 1079 are (1,1079), (13,83).

• What is the greatest prime factors of 1079?

The greatest prime factor of 1079 is 83.

• What are six multiples of 1079?

First five multiples of 1079 are 2158, 3237, 4316, 5395, 6474, 7553.

• What are factors of 1079?

Factors of 1079 are 1, 13, 83, 1079.

• Which is the smallest prime factor of 1079?

Smallest prime factor of 1079 is 13.

• Is 1079 a whole number?

Yes 1079 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 1079. Can you predict the answer?

3 factor(s) of 1079 are 1, 13, 83.

Sammy is puzzled while calculating the prime factors of 1079. Can you help him find them?

Factors of 1079 are 1, 13, 83, 1079.
Prime factors of 1079 are 13, 83

What is prime factorization of 1079?

Prime factorization of 1079 is 13 x 83 = 13 x 83.

Ariel has been assigned the task to find the product of all the prime factors of 1079. Can you help her?

Prime factors of 1079 are 13, 83.
Hence, the product of prime factors of 1079.

Can you help Rubel to find out the product of the even factors of 1079?

Factors of 1079 are 1, 13, 83, 1079.
Even factors of 1079 are 0.
Hence, product of even factors of 1079 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1079. Help him in finding the mean of 1079.

Factors of 1079 are 1, 13, 83, 1079.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1079 is 1 + 13 + 83 + 1079 = 1176.
Hence, the mean of factors of 1079 is 1176 ÷ 4 = 294.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1079? Help her in writing all the factors.

Positive factors are 1, 13, 83, 1079.
Negative factors are -1, -13, -83, -1079.