Factors of 2250 in pair are (1, 2250) , (2, 1125) , (3, 750) , (5, 450) , (6, 375) , (9, 250) , (10, 225) , (15, 150) , (18, 125) , (25, 90) , (30, 75) and (45, 50)

How to find factors of a number in pair

Steps to find factors of 2250 in pair

Example: Find factors of 2250 in pair

Factor Pair Pair Factorization
1 and 2250 1 x 2250 = 2250
2 and 1125 2 x 1125 = 2250
3 and 750 3 x 750 = 2250
5 and 450 5 x 450 = 2250
6 and 375 6 x 375 = 2250
9 and 250 9 x 250 = 2250
10 and 225 10 x 225 = 2250
15 and 150 15 x 150 = 2250
18 and 125 18 x 125 = 2250
25 and 90 25 x 90 = 2250
30 and 75 30 x 75 = 2250
45 and 50 45 x 50 = 2250

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 2250. They are called negative pair factors.

Hence, the negative pairs of 2250 would be ( -1 , -2250 ) .

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 2250 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 25 , 30 , 45 , 50 , 75 , 90 , 125 , 150 , 225 , 250 , 375 , 450 , 750 , 1125 , 2250. So, factors of 2250 in pair are (1,2250), (2,1125), (3,750), (5,450), (6,375), (9,250), (10,225), (15,150), (18,125), (25,90), (30,75), (45,50).

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. 2250 is a factor of itself.
  • 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, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250 are exact divisors of 2250.
  • 1 is a factor of every number. Eg. 1 is a factor of 2250.
  • Every number is a factor of zero (0), since 2250 x 0 = 0.

Steps to find Factors of 2250

  • Step 1. Find all the numbers that would divide 2250 without leaving any remainder. Starting with the number 1 upto 1125 (half of 2250). The number 1 and the number itself are always factors of the given number.
    2250 ÷ 1 : Remainder = 0
    2250 ÷ 2 : Remainder = 0
    2250 ÷ 3 : Remainder = 0
    2250 ÷ 5 : Remainder = 0
    2250 ÷ 6 : Remainder = 0
    2250 ÷ 9 : Remainder = 0
    2250 ÷ 10 : Remainder = 0
    2250 ÷ 15 : Remainder = 0
    2250 ÷ 18 : Remainder = 0
    2250 ÷ 25 : Remainder = 0
    2250 ÷ 30 : Remainder = 0
    2250 ÷ 45 : Remainder = 0
    2250 ÷ 50 : Remainder = 0
    2250 ÷ 75 : Remainder = 0
    2250 ÷ 90 : Remainder = 0
    2250 ÷ 125 : Remainder = 0
    2250 ÷ 150 : Remainder = 0
    2250 ÷ 225 : Remainder = 0
    2250 ÷ 250 : Remainder = 0
    2250 ÷ 375 : Remainder = 0
    2250 ÷ 450 : Remainder = 0
    2250 ÷ 750 : Remainder = 0
    2250 ÷ 1125 : Remainder = 0
    2250 ÷ 2250 : Remainder = 0

Hence, Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, and 2250

Frequently Asked Questions

  • Is 2250 a composite number?

    Yes 2250 is a composite number.

  • Is 2250 a prime number?

    No 2250 is not a prime number.

  • What is the mean of factors of 2250?

    Factors of 2250 are 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 25 , 30 , 45 , 50 , 75 , 90 , 125 , 150 , 225 , 250 , 375 , 450 , 750 , 1125 , 2250. therefore mean of factors of 2250 is (1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 30 + 45 + 50 + 75 + 90 + 125 + 150 + 225 + 250 + 375 + 450 + 750 + 1125 + 2250) / 24 = 253.50.

  • 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

Ariel has been asked to write all factor pairs of 2250 but she is finding it difficult. Can you help her find out?

Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. So, factors of 2250 in pair are (1,2250), (2,1125), (3,750), (5,450), (6,375), (9,250), (10,225), (15,150), (18,125), (25,90), (30,75), (45,50).

Sammy wants to write all the negative factors of 2250 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 2250 are -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -30, -45, -50, -75, -90, -125, -150, -225, -250, -375, -450, -750, -1125, -2250. Hence, factors of 2250 in pair are (-1,-2250), (-2,-1125), (-3,-750), (-5,-450), (-6,-375), (-9,-250), (-10,-225), (-15,-150), (-18,-125), (-25,-90), (-30,-75), (-45,-50).

Help Deep in writing the positive factors of 2250 in pair and negative factor of 2250 in pair.

Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. Positive factors of 2250 in pair are (1,2250), (2,1125), (3,750), (5,450), (6,375), (9,250), (10,225), (15,150), (18,125), (25,90), (30,75), (45,50). Negative factors of 2250 in pair are (-1,-2250), (-2,-1125), (-3,-750), (-5,-450), (-6,-375), (-9,-250), (-10,-225), (-15,-150), (-18,-125), (-25,-90), (-30,-75), (-45,-50).

Find the product of all prime factors of 2250.

Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. Prime factors are 2, 3, 3, 5, 5, 5. So, the product of all prime factors of 2250 would be 2 x 3 x 3 x 5 x 5 x 5 = 2250.

Can you help Sammy list the factors of 2250 and also find the factor pairs?

Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250.
Factors of 2250 in pair are (1,2250), (2,1125), (3,750), (5,450), (6,375), (9,250), (10,225), (15,150), (18,125), (25,90), (30,75), (45,50).

Help Diji in finding factors of 2250 by Prime Factorization method and then sorting factors of 2250 in pairs.

Prime factorization of 2250 is 2 x 3 x 3 x 5 x 5 x 5. Factors of 2250 in pair can be written as (1,2250), (2,1125), (3,750), (5,450), (6,375), (9,250), (10,225), (15,150), (18,125), (25,90), (30,75), (45,50).

Write the smallest prime factor of 2250.

Smallest prime factor of 2250 is 2.

Write the largest prime factor of 2250.

Largest prime factor of 2250 is 5.