Factors of 2420 in pair

Steps to find factors of 2420 in pair

Find all the numbers that would divide 2420 without leaving any remainder. Starting with the number 1 upto 1210 (half of 2420). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 2420, and read off the answer!

Example: Find factors of 2420 in pair

Factor Pair	Pair Factorization
1 and 2420	1 x 2420 = 2420
2 and 1210	2 x 1210 = 2420
4 and 605	4 x 605 = 2420
5 and 484	5 x 484 = 2420
10 and 242	10 x 242 = 2420
11 and 220	11 x 220 = 2420
20 and 121	20 x 121 = 2420
22 and 110	22 x 110 = 2420
44 and 55	44 x 55 = 2420

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 2420. They are called negative pair factors.

Hence, the negative pairs of 2420 would be ( -1 , -2420 ) .

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 2420 are 1 , 2 , 4 , 5 , 10 , 11 , 20 , 22 , 44 , 55 , 110 , 121 , 220 , 242 , 484 , 605 , 1210 , 2420. So, factors of 2420 in pair are (1,2420), (2,1210), (4,605), (5,484), (10,242), (11,220), (20,121), (22,110), (44,55).

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. 2420 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 2420.
Every number is a factor of zero (0), since 2420 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, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420 are exact divisors of 2420.
Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420. Each factor divides 2420 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420 are all less than or equal to 2420.

Steps to find Factors of 2420

Step 1. Find all the numbers that would divide 2420 without leaving any remainder. Starting with the number 1 upto 1210 (half of 2420). The number 1 and the number itself are always factors of the given number.

2420 ÷ 1 : Remainder = 0

2420 ÷ 2 : Remainder = 0

2420 ÷ 4 : Remainder = 0

2420 ÷ 5 : Remainder = 0

2420 ÷ 10 : Remainder = 0

2420 ÷ 11 : Remainder = 0

2420 ÷ 20 : Remainder = 0

2420 ÷ 22 : Remainder = 0

2420 ÷ 44 : Remainder = 0

2420 ÷ 55 : Remainder = 0

2420 ÷ 110 : Remainder = 0

2420 ÷ 121 : Remainder = 0

2420 ÷ 220 : Remainder = 0

2420 ÷ 242 : Remainder = 0

2420 ÷ 484 : Remainder = 0

2420 ÷ 605 : Remainder = 0

2420 ÷ 1210 : Remainder = 0

2420 ÷ 2420 : Remainder = 0

Hence, Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, and 2420

Frequently Asked Questions

Is 2420 a composite number?
Yes 2420 is a composite number.
Is 2420 a prime number?
No 2420 is not a prime number.
Is 2420 a perfect square?
No 2420 is not a perfect square.
Write five multiples of 2420.
Five multiples of 2420 are 4840, 7260, 9680, 12100, 14520.
Write all odd factors of 2420?
The factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420.
Odd factors of 2420 are 1 , 5 , 11 , 55 , 121 , 605.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 2420.
- Writing all prime factors of 2420.
- Writing all the possible factors of 2420 in pair.
Help him in writing all these.

Positive factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420.
Prime factors of 2420 are 2, 2, 5, 11, 11.
Factors of 2420 in pair are (1,2420), (2,1210), (4,605), (5,484), (10,242), (11,220), (20,121), (22,110), (44,55).

What are the pair factors of 2420?

Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420. Hence, the factors of 2420 in pair are (1,2420), (2,1210), (4,605), (5,484), (10,242), (11,220), (20,121), (22,110), (44,55).

Can you help Sammy list the factors of 2420 and also find the factor pairs?

Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420.
Factors of 2420 in pair are (1,2420), (2,1210), (4,605), (5,484), (10,242), (11,220), (20,121), (22,110), (44,55).

The area of a rectangle is 2420 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 2420 in pair. So, the possible combinations (1,2420), (2,1210), (4,605), (5,484), (10,242), (11,220), (20,121), (22,110), (44,55).

Help Diji in finding factors of 2420 by Prime Factorization method and then sorting factors of 2420 in pairs.

Prime factorization of 2420 is 2 x 2 x 5 x 11 x 11. Factors of 2420 in pair can be written as (1,2420), (2,1210), (4,605), (5,484), (10,242), (11,220), (20,121), (22,110), (44,55).

Write the smallest prime factor of 2420.

Smallest prime factor of 2420 is 2.

Write the largest prime factor of 2420.

Largest prime factor of 2420 is 11.

Diji wants to write all the negative factors of 2420. Can you help Diji in doing the same?

Negative factors of 2420 are -1, -2, -4, -5, -10, -11, -20, -22, -44, -55, -110, -121, -220, -242, -484, -605, -1210, -2420.

How to find factors of a number in pair