Factors of 1620 in pair

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Factors of 1620 in pair are (1, 1620) , (2, 810) , (3, 540) , (4, 405) , (5, 324) , (6, 270) , (9, 180) , (10, 162) , (12, 135) , (15, 108) , (18, 90) , (20, 81) , (27, 60) , (30, 54) and (36, 45)

How to find factors of a number in pair

Steps to find factors of 1620 in pair

Find all the numbers that would divide 1620 without leaving any remainder. Starting with the number 1 upto 810 (half of 1620). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1620, and read off the answer!

Example: Find factors of 1620 in pair

Factor Pair	Pair Factorization
1 and 1620	1 x 1620 = 1620
2 and 810	2 x 810 = 1620
3 and 540	3 x 540 = 1620
4 and 405	4 x 405 = 1620
5 and 324	5 x 324 = 1620
6 and 270	6 x 270 = 1620
9 and 180	9 x 180 = 1620
10 and 162	10 x 162 = 1620
12 and 135	12 x 135 = 1620
15 and 108	15 x 108 = 1620
18 and 90	18 x 90 = 1620
20 and 81	20 x 81 = 1620
27 and 60	27 x 60 = 1620
30 and 54	30 x 54 = 1620
36 and 45	36 x 45 = 1620

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 1620. They are called negative pair factors.

Hence, the negative pairs of 1620 would be ( -1 , -1620 ) .

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 1620 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 27 , 30 , 36 , 45 , 54 , 60 , 81 , 90 , 108 , 135 , 162 , 180 , 270 , 324 , 405 , 540 , 810 , 1620. So, factors of 1620 in pair are (1,1620), (2,810), (3,540), (4,405), (5,324), (6,270), (9,180), (10,162), (12,135), (15,108), (18,90), (20,81), (27,60), (30,54), (36,45).

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. 1620 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1620.
Every number is a factor of zero (0), since 1620 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, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620 are exact divisors of 1620.
Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. Each factor divides 1620 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620 are all less than or equal to 1620.

Steps to find Factors of 1620

Step 1. Find all the numbers that would divide 1620 without leaving any remainder. Starting with the number 1 upto 810 (half of 1620). The number 1 and the number itself are always factors of the given number.

1620 ÷ 1 : Remainder = 0

1620 ÷ 2 : Remainder = 0

1620 ÷ 3 : Remainder = 0

1620 ÷ 4 : Remainder = 0

1620 ÷ 5 : Remainder = 0

1620 ÷ 6 : Remainder = 0

1620 ÷ 9 : Remainder = 0

1620 ÷ 10 : Remainder = 0

1620 ÷ 12 : Remainder = 0

1620 ÷ 15 : Remainder = 0

1620 ÷ 18 : Remainder = 0

1620 ÷ 20 : Remainder = 0

1620 ÷ 27 : Remainder = 0

1620 ÷ 30 : Remainder = 0

1620 ÷ 36 : Remainder = 0

1620 ÷ 45 : Remainder = 0

1620 ÷ 54 : Remainder = 0

1620 ÷ 60 : Remainder = 0

1620 ÷ 81 : Remainder = 0

1620 ÷ 90 : Remainder = 0

1620 ÷ 108 : Remainder = 0

1620 ÷ 135 : Remainder = 0

1620 ÷ 162 : Remainder = 0

1620 ÷ 180 : Remainder = 0

1620 ÷ 270 : Remainder = 0

1620 ÷ 324 : Remainder = 0

1620 ÷ 405 : Remainder = 0

1620 ÷ 540 : Remainder = 0

1620 ÷ 810 : Remainder = 0

1620 ÷ 1620 : Remainder = 0

Hence, Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, and 1620

Frequently Asked Questions

Is 1620 a composite number?
Yes 1620 is a composite number.
Is 1620 a prime number?
No 1620 is not a prime number.
What is the mean of factors of 1620?
Factors of 1620 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 27 , 30 , 36 , 45 , 54 , 60 , 81 , 90 , 108 , 135 , 162 , 180 , 270 , 324 , 405 , 540 , 810 , 1620. therefore mean of factors of 1620 is (1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 81 + 90 + 108 + 135 + 162 + 180 + 270 + 324 + 405 + 540 + 810 + 1620) / 30 = 169.40.
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 1620.
- Writing all prime factors of 1620.
- Writing all the possible factors of 1620 in pair.
Help him in writing all these.

Positive factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620.
Prime factors of 1620 are 2, 2, 3, 3, 3, 3, 5.
Factors of 1620 in pair are (1,1620), (2,810), (3,540), (4,405), (5,324), (6,270), (9,180), (10,162), (12,135), (15,108), (18,90), (20,81), (27,60), (30,54), (36,45).

What are the pair factors of 1620?

Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. Hence, the factors of 1620 in pair are (1,1620), (2,810), (3,540), (4,405), (5,324), (6,270), (9,180), (10,162), (12,135), (15,108), (18,90), (20,81), (27,60), (30,54), (36,45).

Can you help Sammy list the factors of 1620 and also find the factor pairs?

Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620.
Factors of 1620 in pair are (1,1620), (2,810), (3,540), (4,405), (5,324), (6,270), (9,180), (10,162), (12,135), (15,108), (18,90), (20,81), (27,60), (30,54), (36,45).

The area of a rectangle is 1620 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 1620 in pair. So, the possible combinations (1,1620), (2,810), (3,540), (4,405), (5,324), (6,270), (9,180), (10,162), (12,135), (15,108), (18,90), (20,81), (27,60), (30,54), (36,45).

Help Diji in finding factors of 1620 by Prime Factorization method and then sorting factors of 1620 in pairs.

Prime factorization of 1620 is 2 x 2 x 3 x 3 x 3 x 3 x 5. Factors of 1620 in pair can be written as (1,1620), (2,810), (3,540), (4,405), (5,324), (6,270), (9,180), (10,162), (12,135), (15,108), (18,90), (20,81), (27,60), (30,54), (36,45).

Write the smallest prime factor of 1620.

Smallest prime factor of 1620 is 2.

Write the largest prime factor of 1620.

Largest prime factor of 1620 is 5.

Diji wants to write all the negative factors of 1620. Can you help Diji in doing the same?

Negative factors of 1620 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -27, -30, -36, -45, -54, -60, -81, -90, -108, -135, -162, -180, -270, -324, -405, -540, -810, -1620.