Factors of 1020 in pair are (1, 1020) , (2, 510) , (3, 340) , (4, 255) , (5, 204) , (6, 170) , (10, 102) , (12, 85) , (15, 68) , (17, 60) , (20, 51) and (30, 34)

How to find factors of a number in pair

Steps to find factors of 1020 in pair

Example: Find factors of 1020 in pair

Factor Pair Pair Factorization
1 and 1020 1 x 1020 = 1020
2 and 510 2 x 510 = 1020
3 and 340 3 x 340 = 1020
4 and 255 4 x 255 = 1020
5 and 204 5 x 204 = 1020
6 and 170 6 x 170 = 1020
10 and 102 10 x 102 = 1020
12 and 85 12 x 85 = 1020
15 and 68 15 x 68 = 1020
17 and 60 17 x 60 = 1020
20 and 51 20 x 51 = 1020
30 and 34 30 x 34 = 1020

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 1020. They are called negative pair factors.

Hence, the negative pairs of 1020 would be ( -1 , -1020 ) .

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 1020 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 30 , 34 , 51 , 60 , 68 , 85 , 102 , 170 , 204 , 255 , 340 , 510 , 1020. So, factors of 1020 in pair are (1,1020), (2,510), (3,340), (4,255), (5,204), (6,170), (10,102), (12,85), (15,68), (17,60), (20,51), (30,34).

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. 1020 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1020.
  • Every number is a factor of zero (0), since 1020 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, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020 are exact divisors of 1020.
  • Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. Each factor divides 1020 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, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020 are all less than or equal to 1020.

Steps to find Factors of 1020

  • Step 1. Find all the numbers that would divide 1020 without leaving any remainder. Starting with the number 1 upto 510 (half of 1020). The number 1 and the number itself are always factors of the given number.
    1020 ÷ 1 : Remainder = 0
    1020 ÷ 2 : Remainder = 0
    1020 ÷ 3 : Remainder = 0
    1020 ÷ 4 : Remainder = 0
    1020 ÷ 5 : Remainder = 0
    1020 ÷ 6 : Remainder = 0
    1020 ÷ 10 : Remainder = 0
    1020 ÷ 12 : Remainder = 0
    1020 ÷ 15 : Remainder = 0
    1020 ÷ 17 : Remainder = 0
    1020 ÷ 20 : Remainder = 0
    1020 ÷ 30 : Remainder = 0
    1020 ÷ 34 : Remainder = 0
    1020 ÷ 51 : Remainder = 0
    1020 ÷ 60 : Remainder = 0
    1020 ÷ 68 : Remainder = 0
    1020 ÷ 85 : Remainder = 0
    1020 ÷ 102 : Remainder = 0
    1020 ÷ 170 : Remainder = 0
    1020 ÷ 204 : Remainder = 0
    1020 ÷ 255 : Remainder = 0
    1020 ÷ 340 : Remainder = 0
    1020 ÷ 510 : Remainder = 0
    1020 ÷ 1020 : Remainder = 0

Hence, Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, and 1020

Frequently Asked Questions

  • Is 1020 a composite number?

    Yes 1020 is a composite number.

  • Is 1020 a prime number?

    No 1020 is not a prime number.

  • What is the mean of factors of 1020?

    Factors of 1020 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 17 , 20 , 30 , 34 , 51 , 60 , 68 , 85 , 102 , 170 , 204 , 255 , 340 , 510 , 1020. therefore mean of factors of 1020 is (1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 17 + 20 + 30 + 34 + 51 + 60 + 68 + 85 + 102 + 170 + 204 + 255 + 340 + 510 + 1020) / 24 = 126.00.

  • 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 1020.
- Writing all prime factors of 1020.
- Writing all the possible factors of 1020 in pair.
Help him in writing all these.

Positive factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020.
Prime factors of 1020 are 2, 2, 3, 5, 17.
Factors of 1020 in pair are (1,1020), (2,510), (3,340), (4,255), (5,204), (6,170), (10,102), (12,85), (15,68), (17,60), (20,51), (30,34).

What are the pair factors of 1020?

Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020. Hence, the factors of 1020 in pair are (1,1020), (2,510), (3,340), (4,255), (5,204), (6,170), (10,102), (12,85), (15,68), (17,60), (20,51), (30,34).

Can you help Sammy list the factors of 1020 and also find the factor pairs?

Factors of 1020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020.
Factors of 1020 in pair are (1,1020), (2,510), (3,340), (4,255), (5,204), (6,170), (10,102), (12,85), (15,68), (17,60), (20,51), (30,34).

The area of a rectangle is 1020 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 1020 in pair. So, the possible combinations (1,1020), (2,510), (3,340), (4,255), (5,204), (6,170), (10,102), (12,85), (15,68), (17,60), (20,51), (30,34).

Help Diji in finding factors of 1020 by Prime Factorization method and then sorting factors of 1020 in pairs.

Prime factorization of 1020 is 2 x 2 x 3 x 5 x 17. Factors of 1020 in pair can be written as (1,1020), (2,510), (3,340), (4,255), (5,204), (6,170), (10,102), (12,85), (15,68), (17,60), (20,51), (30,34).

Write the smallest prime factor of 1020.

Smallest prime factor of 1020 is 2.

Write the largest prime factor of 1020.

Largest prime factor of 1020 is 17.

Diji wants to write all the negative factors of 1020. Can you help Diji in doing the same?

Negative factors of 1020 are -1, -2, -3, -4, -5, -6, -10, -12, -15, -17, -20, -30, -34, -51, -60, -68, -85, -102, -170, -204, -255, -340, -510, -1020.