Factors of 1540 in pair are (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)

How to find factors of a number in pair

Steps to find factors of 1540 in pair

Example: Find factors of 1540 in pair

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 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- 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, factors of 1540 in pair 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 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.

Steps to find Factors of 1540

  • Step 1. Find all the numbers that would divide 1540 without leaving any remainder. Starting with the number 1 upto 770 (half of 1540). The number 1 and the number itself are always factors of the given number.
    1540 ÷ 1 : Remainder = 0
    1540 ÷ 2 : Remainder = 0
    1540 ÷ 4 : Remainder = 0
    1540 ÷ 5 : Remainder = 0
    1540 ÷ 7 : Remainder = 0
    1540 ÷ 10 : Remainder = 0
    1540 ÷ 11 : Remainder = 0
    1540 ÷ 14 : Remainder = 0
    1540 ÷ 20 : Remainder = 0
    1540 ÷ 22 : Remainder = 0
    1540 ÷ 28 : Remainder = 0
    1540 ÷ 35 : Remainder = 0
    1540 ÷ 44 : Remainder = 0
    1540 ÷ 55 : Remainder = 0
    1540 ÷ 70 : Remainder = 0
    1540 ÷ 77 : Remainder = 0
    1540 ÷ 110 : Remainder = 0
    1540 ÷ 140 : Remainder = 0
    1540 ÷ 154 : Remainder = 0
    1540 ÷ 220 : Remainder = 0
    1540 ÷ 308 : Remainder = 0
    1540 ÷ 385 : Remainder = 0
    1540 ÷ 770 : Remainder = 0
    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

Frequently Asked Questions

  • Is 1540 a composite number?

    Yes 1540 is a composite number.

  • Is 1540 a prime number?

    No 1540 is not a prime number.

  • Write five multiples of 1540.

    Five multiples of 1540 are 3080, 4620, 6160, 7700, 9240.

  • Write all odd 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.
    Odd factors of 1540 are 1 , 5 , 7 , 11 , 35 , 55 , 77 , 385.

  • What is the mean of all prime 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. Prime factors of 1540 are 2 , 2 , 5 , 7 , 11. Therefore mean of prime factors of 1540 is (2 + 2 + 5 + 7 + 11) / 5 = 5.40.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1540.
- Writing all prime factors of 1540.
- Writing all the possible factors of 1540 in pair.
Help him in writing all these.

Positive 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.
Factors of 1540 in pair 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 are the pair 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. Hence, the factors of 1540 in pair 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).

Can you help Sammy list the factors of 1540 and also find the factor pairs?

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.
Factors of 1540 in pair 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).

The area of a rectangle is 1540 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 1540 in pair. So, the possible combinations (1,1540), (2,770), (4,385), (5,308), (7,220), (10,154), (11,140), (14,110), (20,77), (22,70), (28,55), (35,44).

Help Diji in finding factors of 1540 by Prime Factorization method and then sorting factors of 1540 in pairs.

Prime factorization of 1540 is 2 x 2 x 5 x 7 x 11. Factors of 1540 in pair can be written as (1,1540), (2,770), (4,385), (5,308), (7,220), (10,154), (11,140), (14,110), (20,77), (22,70), (28,55), (35,44).

Write the smallest prime factor of 1540.

Smallest prime factor of 1540 is 2.

Write the largest prime factor of 1540.

Largest prime factor of 1540 is 11.

Diji wants to write all the negative factors of 1540. Can you help Diji in doing the same?

Negative 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.