Factors of 5625 in pair are (1, 5625) , (3, 1875) , (5, 1125) , (9, 625) , (15, 375) , (25, 225) , (45, 125) and (75, 75)

How to find factors of a number in pair

Steps to find factors of 5625 in pair

Example: Find factors of 5625 in pair

Factor Pair Pair Factorization
1 and 5625 1 x 5625 = 5625
3 and 1875 3 x 1875 = 5625
5 and 1125 5 x 1125 = 5625
9 and 625 9 x 625 = 5625
15 and 375 15 x 375 = 5625
25 and 225 25 x 225 = 5625
45 and 125 45 x 125 = 5625
75 and 75 75 x 75 = 5625

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 5625. They are called negative pair factors.

Hence, the negative pairs of 5625 would be ( -1 , -5625 ) .

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 5625 are 1 , 3 , 5 , 9 , 15 , 25 , 45 , 75 , 125 , 225 , 375 , 625 , 1125 , 1875 , 5625. So, factors of 5625 in pair are (1,5625), (3,1875), (5,1125), (9,625), (15,375), (25,225), (45,125), (75,75).

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, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625 are exact divisors of 5625.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 5625 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5625.

Steps to find Factors of 5625

  • Step 1. Find all the numbers that would divide 5625 without leaving any remainder. Starting with the number 1 upto 2812 (half of 5625). The number 1 and the number itself are always factors of the given number.
    5625 ÷ 1 : Remainder = 0
    5625 ÷ 3 : Remainder = 0
    5625 ÷ 5 : Remainder = 0
    5625 ÷ 9 : Remainder = 0
    5625 ÷ 15 : Remainder = 0
    5625 ÷ 25 : Remainder = 0
    5625 ÷ 45 : Remainder = 0
    5625 ÷ 75 : Remainder = 0
    5625 ÷ 125 : Remainder = 0
    5625 ÷ 225 : Remainder = 0
    5625 ÷ 375 : Remainder = 0
    5625 ÷ 625 : Remainder = 0
    5625 ÷ 1125 : Remainder = 0
    5625 ÷ 1875 : Remainder = 0
    5625 ÷ 5625 : Remainder = 0

Hence, Factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, and 5625

Frequently Asked Questions

  • Is 5625 a composite number?

    Yes 5625 is a composite number.

  • Is 5625 a perfect square?

    Yes 5625 is a perfect square.

  • Write all odd factors of 5625?

    The factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625.
    Odd factors of 5625 are 1 , 3 , 5 , 9 , 15 , 25 , 45 , 75 , 125 , 225 , 375 , 625 , 1125 , 1875 , 5625.

  • What is the mean of all prime factors of 5625?

    Factors of 5625 are 1 , 3 , 5 , 9 , 15 , 25 , 45 , 75 , 125 , 225 , 375 , 625 , 1125 , 1875 , 5625. Prime factors of 5625 are 3 , 3 , 5 , 5 , 5 , 5. Therefore mean of prime factors of 5625 is (3 + 3 + 5 + 5 + 5 + 5) / 6 = 4.33.

  • 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 5625 blocks in order to form a rectangle in all possible ways? For arranging 5625 blocks in order to form a rectangle in all possible ways we need to find factors of 5625 in pair.

Factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. So, factors of 5625 in pair are (1,5625), (3,1875), (5,1125), (9,625), (15,375), (25,225), (45,125), (75,75).

How many total number of factors of 5625 in pair are possible?

Factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. Hence, the factors of 5625 in pair are (1,5625), (3,1875), (5,1125), (9,625), (15,375), (25,225), (45,125), (75,75). Therefore, in total 8 pairs of factors are possible.

Sammy wants to write all the negative factors of 5625 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 5625 are -1, -3, -5, -9, -15, -25, -45, -75, -125, -225, -375, -625, -1125, -1875, -5625. Hence, factors of 5625 in pair are (-1,-5625), (-3,-1875), (-5,-1125), (-9,-625), (-15,-375), (-25,-225), (-45,-125), (-75,-75).

Find the product of all prime factors of 5625.

Factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. Prime factors are 3, 3, 5, 5, 5, 5. So, the product of all prime factors of 5625 would be 3 x 3 x 5 x 5 x 5 x 5 = 5625.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 5625.
- Writing all prime factors of 5625.
- Writing all the possible factors of 5625 in pair.
Help him in writing all these.

Positive factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625.
Prime factors of 5625 are 3, 3, 5, 5, 5, 5.
Factors of 5625 in pair are (1,5625), (3,1875), (5,1125), (9,625), (15,375), (25,225), (45,125), (75,75).

Can you help Sammy list the factors of 5625 and also find the factor pairs?

Factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625.
Factors of 5625 in pair are (1,5625), (3,1875), (5,1125), (9,625), (15,375), (25,225), (45,125), (75,75).

Help Diji in finding factors of 5625 by Prime Factorization method and then sorting factors of 5625 in pairs.

Prime factorization of 5625 is 3 x 3 x 5 x 5 x 5 x 5. Factors of 5625 in pair can be written as (1,5625), (3,1875), (5,1125), (9,625), (15,375), (25,225), (45,125), (75,75).

Write the smallest prime factor of 5625.

Smallest prime factor of 5625 is 3.