Factors of 780 in pair are (1, 780) , (2, 390) , (3, 260) , (4, 195) , (5, 156) , (6, 130) , (10, 78) , (12, 65) , (13, 60) , (15, 52) , (20, 39) and (26, 30)

How to find factors of a number in pair

Steps to find factors of 780 in pair

Example: Find factors of 780 in pair

Factor Pair Pair Factorization
1 and 780 1 x 780 = 780
2 and 390 2 x 390 = 780
3 and 260 3 x 260 = 780
4 and 195 4 x 195 = 780
5 and 156 5 x 156 = 780
6 and 130 6 x 130 = 780
10 and 78 10 x 78 = 780
12 and 65 12 x 65 = 780
13 and 60 13 x 60 = 780
15 and 52 15 x 52 = 780
20 and 39 20 x 39 = 780
26 and 30 26 x 30 = 780

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 780. They are called negative pair factors.

Hence, the negative pairs of 780 would be ( -1 , -780 ) .

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 780 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 26 , 30 , 39 , 52 , 60 , 65 , 78 , 130 , 156 , 195 , 260 , 390 , 780. So, factors of 780 in pair are (1,780), (2,390), (3,260), (4,195), (5,156), (6,130), (10,78), (12,65), (13,60), (15,52), (20,39), (26,30).

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. 780 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 780.
  • Every number is a factor of zero (0), since 780 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, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780 are exact divisors of 780.
  • Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. Each factor divides 780 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, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780 are all less than or equal to 780.

Steps to find Factors of 780

  • Step 1. Find all the numbers that would divide 780 without leaving any remainder. Starting with the number 1 upto 390 (half of 780). The number 1 and the number itself are always factors of the given number.
    780 ÷ 1 : Remainder = 0
    780 ÷ 2 : Remainder = 0
    780 ÷ 3 : Remainder = 0
    780 ÷ 4 : Remainder = 0
    780 ÷ 5 : Remainder = 0
    780 ÷ 6 : Remainder = 0
    780 ÷ 10 : Remainder = 0
    780 ÷ 12 : Remainder = 0
    780 ÷ 13 : Remainder = 0
    780 ÷ 15 : Remainder = 0
    780 ÷ 20 : Remainder = 0
    780 ÷ 26 : Remainder = 0
    780 ÷ 30 : Remainder = 0
    780 ÷ 39 : Remainder = 0
    780 ÷ 52 : Remainder = 0
    780 ÷ 60 : Remainder = 0
    780 ÷ 65 : Remainder = 0
    780 ÷ 78 : Remainder = 0
    780 ÷ 130 : Remainder = 0
    780 ÷ 156 : Remainder = 0
    780 ÷ 195 : Remainder = 0
    780 ÷ 260 : Remainder = 0
    780 ÷ 390 : Remainder = 0
    780 ÷ 780 : Remainder = 0

Hence, Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, and 780

Frequently Asked Questions

  • Is 780 a composite number?

    Yes 780 is a composite number.

  • Is 780 a prime number?

    No 780 is not a prime number.

  • What is the mean of factors of 780?

    Factors of 780 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 13 , 15 , 20 , 26 , 30 , 39 , 52 , 60 , 65 , 78 , 130 , 156 , 195 , 260 , 390 , 780. therefore mean of factors of 780 is (1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 13 + 15 + 20 + 26 + 30 + 39 + 52 + 60 + 65 + 78 + 130 + 156 + 195 + 260 + 390 + 780) / 24 = 98.00.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 780.
- Writing all prime factors of 780.
- Writing all the possible factors of 780 in pair.
Help him in writing all these.

Positive factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780.
Prime factors of 780 are 2, 2, 3, 5, 13.
Factors of 780 in pair are (1,780), (2,390), (3,260), (4,195), (5,156), (6,130), (10,78), (12,65), (13,60), (15,52), (20,39), (26,30).

What are the pair factors of 780?

Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. Hence, the factors of 780 in pair are (1,780), (2,390), (3,260), (4,195), (5,156), (6,130), (10,78), (12,65), (13,60), (15,52), (20,39), (26,30).

Can you help Sammy list the factors of 780 and also find the factor pairs?

Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780.
Factors of 780 in pair are (1,780), (2,390), (3,260), (4,195), (5,156), (6,130), (10,78), (12,65), (13,60), (15,52), (20,39), (26,30).

The area of a rectangle is 780 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 780 in pair. So, the possible combinations (1,780), (2,390), (3,260), (4,195), (5,156), (6,130), (10,78), (12,65), (13,60), (15,52), (20,39), (26,30).

Help Diji in finding factors of 780 by Prime Factorization method and then sorting factors of 780 in pairs.

Prime factorization of 780 is 2 x 2 x 3 x 5 x 13. Factors of 780 in pair can be written as (1,780), (2,390), (3,260), (4,195), (5,156), (6,130), (10,78), (12,65), (13,60), (15,52), (20,39), (26,30).

Write the smallest prime factor of 780.

Smallest prime factor of 780 is 2.

Write the largest prime factor of 780.

Largest prime factor of 780 is 13.

Diji wants to write all the negative factors of 780. Can you help Diji in doing the same?

Negative factors of 780 are -1, -2, -3, -4, -5, -6, -10, -12, -13, -15, -20, -26, -30, -39, -52, -60, -65, -78, -130, -156, -195, -260, -390, -780.