Factors of 2025 in pair are (1, 2025) , (3, 675) , (5, 405) , (9, 225) , (15, 135) , (25, 81) , (27, 75) and (45, 45)

How to find factors of a number in pair

Steps to find factors of 2025 in pair

Example: Find factors of 2025 in pair

Factor Pair Pair Factorization
1 and 2025 1 x 2025 = 2025
3 and 675 3 x 675 = 2025
5 and 405 5 x 405 = 2025
9 and 225 9 x 225 = 2025
15 and 135 15 x 135 = 2025
25 and 81 25 x 81 = 2025
27 and 75 27 x 75 = 2025
45 and 45 45 x 45 = 2025

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 2025. They are called negative pair factors.

Hence, the negative pairs of 2025 would be ( -1 , -2025 ) .

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 2025 are 1 , 3 , 5 , 9 , 15 , 25 , 27 , 45 , 75 , 81 , 135 , 225 , 405 , 675 , 2025. So, factors of 2025 in pair are (1,2025), (3,675), (5,405), (9,225), (15,135), (25,81), (27,75), (45,45).

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

  • Every factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025 are exact divisors of 2025.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 2025 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2025.

Steps to find Factors of 2025

  • Step 1. Find all the numbers that would divide 2025 without leaving any remainder. Starting with the number 1 upto 1012 (half of 2025). The number 1 and the number itself are always factors of the given number.
    2025 ÷ 1 : Remainder = 0
    2025 ÷ 3 : Remainder = 0
    2025 ÷ 5 : Remainder = 0
    2025 ÷ 9 : Remainder = 0
    2025 ÷ 15 : Remainder = 0
    2025 ÷ 25 : Remainder = 0
    2025 ÷ 27 : Remainder = 0
    2025 ÷ 45 : Remainder = 0
    2025 ÷ 75 : Remainder = 0
    2025 ÷ 81 : Remainder = 0
    2025 ÷ 135 : Remainder = 0
    2025 ÷ 225 : Remainder = 0
    2025 ÷ 405 : Remainder = 0
    2025 ÷ 675 : Remainder = 0
    2025 ÷ 2025 : Remainder = 0

Hence, Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, and 2025

Frequently Asked Questions

  • Is 2025 a composite number?

    Yes 2025 is a composite number.

  • Is 2025 a perfect square?

    Yes 2025 is a perfect square.

  • Write all odd factors of 2025?

    The factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.
    Odd factors of 2025 are 1 , 3 , 5 , 9 , 15 , 25 , 27 , 45 , 75 , 81 , 135 , 225 , 405 , 675 , 2025.

  • What is the mean of all prime factors of 2025?

    Factors of 2025 are 1 , 3 , 5 , 9 , 15 , 25 , 27 , 45 , 75 , 81 , 135 , 225 , 405 , 675 , 2025. Prime factors of 2025 are 3 , 3 , 3 , 3 , 5 , 5. Therefore mean of prime factors of 2025 is (3 + 3 + 3 + 3 + 5 + 5) / 6 = 3.67.

  • 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.

Examples of Factors

Can you help Rubel in arranging 2025 blocks in order to form a rectangle in all possible ways? For arranging 2025 blocks in order to form a rectangle in all possible ways we need to find factors of 2025 in pair.

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. So, factors of 2025 in pair are (1,2025), (3,675), (5,405), (9,225), (15,135), (25,81), (27,75), (45,45).

How many total number of factors of 2025 in pair are possible?

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. Hence, the factors of 2025 in pair are (1,2025), (3,675), (5,405), (9,225), (15,135), (25,81), (27,75), (45,45). Therefore, in total 8 pairs of factors are possible.

Sammy wants to write all the negative factors of 2025 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 2025 are -1, -3, -5, -9, -15, -25, -27, -45, -75, -81, -135, -225, -405, -675, -2025. Hence, factors of 2025 in pair are (-1,-2025), (-3,-675), (-5,-405), (-9,-225), (-15,-135), (-25,-81), (-27,-75), (-45,-45).

Find the product of all prime factors of 2025.

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. Prime factors are 3, 3, 3, 3, 5, 5. So, the product of all prime factors of 2025 would be 3 x 3 x 3 x 3 x 5 x 5 = 2025.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 2025.
- Writing all prime factors of 2025.
- Writing all the possible factors of 2025 in pair.
Help him in writing all these.

Positive factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.
Prime factors of 2025 are 3, 3, 3, 3, 5, 5.
Factors of 2025 in pair are (1,2025), (3,675), (5,405), (9,225), (15,135), (25,81), (27,75), (45,45).

Can you help Sammy list the factors of 2025 and also find the factor pairs?

Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025.
Factors of 2025 in pair are (1,2025), (3,675), (5,405), (9,225), (15,135), (25,81), (27,75), (45,45).

Help Diji in finding factors of 2025 by Prime Factorization method and then sorting factors of 2025 in pairs.

Prime factorization of 2025 is 3 x 3 x 3 x 3 x 5 x 5. Factors of 2025 in pair can be written as (1,2025), (3,675), (5,405), (9,225), (15,135), (25,81), (27,75), (45,45).

Write the smallest prime factor of 2025.

Smallest prime factor of 2025 is 3.