# Factors of 1540

Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, and 1540

#### How to find factors of a number

 1.   Find factors of 1540 using Division Method 2.   Find factors of 1540 using Prime Factorization 3.   Find factors of 1540 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1540

• Divide 1540 by 1: 1540 ÷ 1 : Remainder = 0
• Divide 1540 by 2: 1540 ÷ 2 : Remainder = 0
• Divide 1540 by 4: 1540 ÷ 4 : Remainder = 0
• Divide 1540 by 5: 1540 ÷ 5 : Remainder = 0
• Divide 1540 by 7: 1540 ÷ 7 : Remainder = 0
• Divide 1540 by 10: 1540 ÷ 10 : Remainder = 0
• Divide 1540 by 11: 1540 ÷ 11 : Remainder = 0
• Divide 1540 by 14: 1540 ÷ 14 : Remainder = 0
• Divide 1540 by 20: 1540 ÷ 20 : Remainder = 0
• Divide 1540 by 22: 1540 ÷ 22 : Remainder = 0
• Divide 1540 by 28: 1540 ÷ 28 : Remainder = 0
• Divide 1540 by 35: 1540 ÷ 35 : Remainder = 0
• Divide 1540 by 44: 1540 ÷ 44 : Remainder = 0
• Divide 1540 by 55: 1540 ÷ 55 : Remainder = 0
• Divide 1540 by 70: 1540 ÷ 70 : Remainder = 0
• Divide 1540 by 77: 1540 ÷ 77 : Remainder = 0
• Divide 1540 by 110: 1540 ÷ 110 : Remainder = 0
• Divide 1540 by 140: 1540 ÷ 140 : Remainder = 0
• Divide 1540 by 154: 1540 ÷ 154 : Remainder = 0
• Divide 1540 by 220: 1540 ÷ 220 : Remainder = 0
• Divide 1540 by 308: 1540 ÷ 308 : Remainder = 0
• Divide 1540 by 385: 1540 ÷ 385 : Remainder = 0
• Divide 1540 by 770: 1540 ÷ 770 : Remainder = 0
• Divide 1540 by 1540: 1540 ÷ 1540 : Remainder = 0

Hence, Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, and 1540

#### 2. Steps to find factors of 1540 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 1540 using the division method, follow these steps:

• Step 1. Start dividing 1540 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 1540, which is 2. Divide 1540 by 2 to obtain the quotient (770).
1540 ÷ 2 = 770
• Step 3. Repeat step 1 with the obtained quotient (770).
770 ÷ 2 = 385
385 ÷ 5 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1

So, the prime factorization of 1540 is, 1540 = 2 x 2 x 5 x 7 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1540 as shown below:

So, the prime factorization of 1540 is, 1540 = 2 x 2 x 5 x 7 x 11.

#### 3. Find factors of 1540 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 1540 would be the two numbers which, when multiplied, give 1540 as the result.

The following table represents the calculation of factors of 1540 in pairs:

Factor Pair Pair Factorization
1 and 1540 1 x 1540 = 1540
2 and 770 2 x 770 = 1540
4 and 385 4 x 385 = 1540
5 and 308 5 x 308 = 1540
7 and 220 7 x 220 = 1540
10 and 154 10 x 154 = 1540
11 and 140 11 x 140 = 1540
14 and 110 14 x 110 = 1540
20 and 77 20 x 77 = 1540
22 and 70 22 x 70 = 1540
28 and 55 28 x 55 = 1540
35 and 44 35 x 44 = 1540

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 1540. They are called negative pair factors.

Hence, the negative pairs of 1540 would be ( -1 , -1540 ) , ( -2 , -770 ) , ( -4 , -385 ) , ( -5 , -308 ) , ( -7 , -220 ) , ( -10 , -154 ) , ( -11 , -140 ) , ( -14 , -110 ) , ( -20 , -77 ) , ( -22 , -70 ) , ( -28 , -55 ) and ( -35 , -44 ) .

#### 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. 1540 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1540.
• Every number is a factor of zero (0), since 1540 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, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540 are exact divisors of 1540.
• Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540. Each factor divides 1540 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540 are all less than or equal to 1540.

• What are the prime factors of 1540?

The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540.
Prime factors of 1540 are 2, 2, 5, 7, 11.

• What is the sum of all factors of 1540?

The sum of all factors of 1540 is 4032.

• What are the pair factors of 1540?

Pair factors of 1540 are (1,1540), (2,770), (4,385), (5,308), (7,220), (10,154), (11,140), (14,110), (20,77), (22,70), (28,55), (35,44).

• What two numbers make 1540?

Two numbers that make 1540 are 2 and 770.

• What are multiples of 1540?

First five multiples of 1540 are 3080, 4620, 6160, 7700.

• Is 1540 a perfect square?

No 1540 is not a perfect square.

• Which is greatest factor of 1540?

The greatest factor of 1540 is 770.

• How do you factors of 1540?

Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540.

• What are five multiples of 1540?

First five multiples of 1540 are 3080, 4620, 6160, 7700, 9240.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 1540?

Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540.
Even factors of 1540 are 2, 4, 10, 14, 20, 22, 28, 44, 70, 110, 140, 154, 220, 308, 770, 1540.
Hence, product of even factors of 1540 is; 2 x 4 x 10 x 14 x 20 x 22 x 28 x 44 x 70 x 110 x 140 x 154 x 220 x 308 x 770 x 1540 = 8.098521360286883e+27.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1540? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540.
Negative factors are -1, -2, -4, -5, -7, -10, -11, -14, -20, -22, -28, -35, -44, -55, -70, -77, -110, -140, -154, -220, -308, -385, -770, -1540.

How many factors are there for 1540?

Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540.
So there are in total 24 factors.

Sammy is puzzled while calculating the prime factors of 1540. Can you help him find them?

Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540.
Prime factors of 1540 are 2, 2, 5, 7, 11

Joey wants to write all the prime factors of 1540 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1540 are 2, 2, 5, 7, 11.
So in exponential form it can be written as 22 x 5 x 7 x 11.

What is prime factorization of 1540?

Prime factorization of 1540 is 2 x 2 x 5 x 7 x 11 = 22 x 5 x 7 x 11.

Can you help Rubel to find out the product of the even factors of 1540?

Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540.
Even factors of 1540 are 2, 4, 10, 14, 20, 22, 28, 44, 70, 110, 140, 154, 220, 308, 770, 1540.
Hence, product of even factors of 1540 is; 2 x 4 x 10 x 14 x 20 x 22 x 28 x 44 x 70 x 110 x 140 x 154 x 220 x 308 x 770 x 1540 = 8.098521360286883e+27.