# Factors of 1140

Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, and 1140

#### How to find factors of a number

 1.   Find factors of 1140 using Division Method 2.   Find factors of 1140 using Prime Factorization 3.   Find factors of 1140 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1140

• Divide 1140 by 1: 1140 ÷ 1 : Remainder = 0
• Divide 1140 by 2: 1140 ÷ 2 : Remainder = 0
• Divide 1140 by 3: 1140 ÷ 3 : Remainder = 0
• Divide 1140 by 4: 1140 ÷ 4 : Remainder = 0
• Divide 1140 by 5: 1140 ÷ 5 : Remainder = 0
• Divide 1140 by 6: 1140 ÷ 6 : Remainder = 0
• Divide 1140 by 10: 1140 ÷ 10 : Remainder = 0
• Divide 1140 by 12: 1140 ÷ 12 : Remainder = 0
• Divide 1140 by 15: 1140 ÷ 15 : Remainder = 0
• Divide 1140 by 19: 1140 ÷ 19 : Remainder = 0
• Divide 1140 by 20: 1140 ÷ 20 : Remainder = 0
• Divide 1140 by 30: 1140 ÷ 30 : Remainder = 0
• Divide 1140 by 38: 1140 ÷ 38 : Remainder = 0
• Divide 1140 by 57: 1140 ÷ 57 : Remainder = 0
• Divide 1140 by 60: 1140 ÷ 60 : Remainder = 0
• Divide 1140 by 76: 1140 ÷ 76 : Remainder = 0
• Divide 1140 by 95: 1140 ÷ 95 : Remainder = 0
• Divide 1140 by 114: 1140 ÷ 114 : Remainder = 0
• Divide 1140 by 190: 1140 ÷ 190 : Remainder = 0
• Divide 1140 by 228: 1140 ÷ 228 : Remainder = 0
• Divide 1140 by 285: 1140 ÷ 285 : Remainder = 0
• Divide 1140 by 380: 1140 ÷ 380 : Remainder = 0
• Divide 1140 by 570: 1140 ÷ 570 : Remainder = 0
• Divide 1140 by 1140: 1140 ÷ 1140 : Remainder = 0

Hence, Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, and 1140

#### 2. Steps to find factors of 1140 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 1140 using the division method, follow these steps:

• Step 1. Start dividing 1140 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 1140, which is 2. Divide 1140 by 2 to obtain the quotient (570).
1140 ÷ 2 = 570
• Step 3. Repeat step 1 with the obtained quotient (570).
570 ÷ 2 = 285
285 ÷ 3 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1

So, the prime factorization of 1140 is, 1140 = 2 x 2 x 3 x 5 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1140 as shown below:

So, the prime factorization of 1140 is, 1140 = 2 x 2 x 3 x 5 x 19.

#### 3. Find factors of 1140 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 1140 would be the two numbers which, when multiplied, give 1140 as the result.

The following table represents the calculation of factors of 1140 in pairs:

Factor Pair Pair Factorization
1 and 1140 1 x 1140 = 1140
2 and 570 2 x 570 = 1140
3 and 380 3 x 380 = 1140
4 and 285 4 x 285 = 1140
5 and 228 5 x 228 = 1140
6 and 190 6 x 190 = 1140
10 and 114 10 x 114 = 1140
12 and 95 12 x 95 = 1140
15 and 76 15 x 76 = 1140
19 and 60 19 x 60 = 1140
20 and 57 20 x 57 = 1140
30 and 38 30 x 38 = 1140

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 1140. They are called negative pair factors.

Hence, the negative pairs of 1140 would be ( -1 , -1140 ) , ( -2 , -570 ) , ( -3 , -380 ) , ( -4 , -285 ) , ( -5 , -228 ) , ( -6 , -190 ) , ( -10 , -114 ) , ( -12 , -95 ) , ( -15 , -76 ) , ( -19 , -60 ) , ( -20 , -57 ) and ( -30 , -38 ) .

#### 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. 1140 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1140.
• Every number is a factor of zero (0), since 1140 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, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140 are exact divisors of 1140.
• Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140. Each factor divides 1140 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140 are all less than or equal to 1140.

• How do you find factors of a negative number? ( eg. -1140 )?

Factors of -1140 are -1, -2, -3, -4, -5, -6, -10, -12, -15, -19, -20, -30, -38, -57, -60, -76, -95, -114, -190, -228, -285, -380, -570, -1140.

• What is the sum of all factors of 1140?

The sum of all factors of 1140 is 3360.

• What is prime factorization of 1140?

Prime factorization of 1140 is 2 x 2 x 3 x 5 x 19.

• What are the pair factors of 1140?

Pair factors of 1140 are (1,1140), (2,570), (3,380), (4,285), (5,228), (6,190), (10,114), (12,95), (15,76), (19,60), (20,57), (30,38).

• What are six multiples of 1140?

First five multiples of 1140 are 2280, 3420, 4560, 5700, 6840, 7980.

• Is 1140 a whole number?

Yes 1140 is a whole number.

• Which is the smallest prime factor of 1140?

Smallest prime factor of 1140 is 2.

• What are five multiples of 1140?

First five multiples of 1140 are 2280, 3420, 4560, 5700, 6840.

• Write all factors of 1140?

Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140.

#### Examples of Factors

Joey wants to write all the prime factors of 1140 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1140 are 2, 2, 3, 5, 19.
So in exponential form it can be written as 22 x 3 x 5 x 19.

How many factors are there for 1140?

Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140.
So there are in total 24 factors.

Kevin has been asked to write 23 factor(s) of 1140. Can you predict the answer?

23 factor(s) of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570.

Sammy is puzzled while calculating the prime factors of 1140. Can you help him find them?

Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140.
Prime factors of 1140 are 2, 2, 3, 5, 19

What is prime factorization of 1140?

Prime factorization of 1140 is 2 x 2 x 3 x 5 x 19 = 22 x 3 x 5 x 19.

Ariel has been assigned the task to find the product of all the prime factors of 1140. Can you help her?

Prime factors of 1140 are 2, 2, 3, 5, 19.
Hence, the product of prime factors of 570.

Can you help Rubel to find out the product of the even factors of 1140?

Factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140.
Even factors of 1140 are 2, 4, 6, 10, 12, 20, 30, 38, 60, 76, 114, 190, 228, 380, 570, 1140.
Hence, product of even factors of 1140 is; 2 x 4 x 6 x 10 x 12 x 20 x 30 x 38 x 60 x 76 x 114 x 190 x 228 x 380 x 570 x 1140 = 7.302621240492099e+26.