# Factors of 1180

Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, and 1180

#### How to find factors of a number

 1.   Find factors of 1180 using Division Method 2.   Find factors of 1180 using Prime Factorization 3.   Find factors of 1180 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1180

• Divide 1180 by 1: 1180 ÷ 1 : Remainder = 0
• Divide 1180 by 2: 1180 ÷ 2 : Remainder = 0
• Divide 1180 by 4: 1180 ÷ 4 : Remainder = 0
• Divide 1180 by 5: 1180 ÷ 5 : Remainder = 0
• Divide 1180 by 10: 1180 ÷ 10 : Remainder = 0
• Divide 1180 by 20: 1180 ÷ 20 : Remainder = 0
• Divide 1180 by 59: 1180 ÷ 59 : Remainder = 0
• Divide 1180 by 118: 1180 ÷ 118 : Remainder = 0
• Divide 1180 by 236: 1180 ÷ 236 : Remainder = 0
• Divide 1180 by 295: 1180 ÷ 295 : Remainder = 0
• Divide 1180 by 590: 1180 ÷ 590 : Remainder = 0
• Divide 1180 by 1180: 1180 ÷ 1180 : Remainder = 0

Hence, Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, and 1180

#### 2. Steps to find factors of 1180 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 1180 using the division method, follow these steps:

• Step 1. Start dividing 1180 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 1180, which is 2. Divide 1180 by 2 to obtain the quotient (590).
1180 ÷ 2 = 590
• Step 3. Repeat step 1 with the obtained quotient (590).
590 ÷ 2 = 295
295 ÷ 5 = 59
59 ÷ 59 = 1

So, the prime factorization of 1180 is, 1180 = 2 x 2 x 5 x 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1180 as shown below:

So, the prime factorization of 1180 is, 1180 = 2 x 2 x 5 x 59.

#### 3. Find factors of 1180 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 1180 would be the two numbers which, when multiplied, give 1180 as the result.

The following table represents the calculation of factors of 1180 in pairs:

Factor Pair Pair Factorization
1 and 1180 1 x 1180 = 1180
2 and 590 2 x 590 = 1180
4 and 295 4 x 295 = 1180
5 and 236 5 x 236 = 1180
10 and 118 10 x 118 = 1180
20 and 59 20 x 59 = 1180

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 1180. They are called negative pair factors.

Hence, the negative pairs of 1180 would be ( -1 , -1180 ) , ( -2 , -590 ) , ( -4 , -295 ) , ( -5 , -236 ) , ( -10 , -118 ) and ( -20 , -59 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 1180 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1180.
• Every number is a factor of zero (0), since 1180 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, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180 are exact divisors of 1180.
• Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180. Each factor divides 1180 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180 are all less than or equal to 1180.

• What are the prime factors of 1180?

The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.
Prime factors of 1180 are 2, 2, 5, 59.

• What is the sum of all factors of 1180?

The sum of all factors of 1180 is 2520.

• What are the pair factors of 1180?

Pair factors of 1180 are (1,1180), (2,590), (4,295), (5,236), (10,118), (20,59).

• What two numbers make 1180?

Two numbers that make 1180 are 2 and 590.

• What are multiples of 1180?

First five multiples of 1180 are 2360, 3540, 4720, 5900.

• Is 1180 a perfect square?

No 1180 is not a perfect square.

• Which is greatest factor of 1180?

The greatest factor of 1180 is 590.

• How do you factors of 1180?

Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.

• What are five multiples of 1180?

First five multiples of 1180 are 2360, 3540, 4720, 5900, 7080.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 1180?

Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.
Even factors of 1180 are 2, 4, 10, 20, 118, 236, 590, 1180.
Hence, product of even factors of 1180 is; 2 x 4 x 10 x 20 x 118 x 236 x 590 x 1180 = 31020444160000.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1180? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.
Negative factors are -1, -2, -4, -5, -10, -20, -59, -118, -236, -295, -590, -1180.

How many factors are there for 1180?

Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.
So there are in total 12 factors.

Sammy is puzzled while calculating the prime factors of 1180. Can you help him find them?

Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.
Prime factors of 1180 are 2, 2, 5, 59

Joey wants to write all the prime factors of 1180 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1180 are 2, 2, 5, 59.
So in exponential form it can be written as 22 x 5 x 59.

What is prime factorization of 1180?

Prime factorization of 1180 is 2 x 2 x 5 x 59 = 22 x 5 x 59.

Can you help Rubel to find out the product of the even factors of 1180?

Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.
Even factors of 1180 are 2, 4, 10, 20, 118, 236, 590, 1180.
Hence, product of even factors of 1180 is; 2 x 4 x 10 x 20 x 118 x 236 x 590 x 1180 = 31020444160000.