Factors of 24500 in pair are (1, 24500) , (2, 12250) , (4, 6125) , (5, 4900) , (7, 3500) , (10, 2450) , (14, 1750) , (20, 1225) , (25, 980) , (28, 875) , (35, 700) , (49, 500) , (50, 490) , (70, 350) , (98, 250) , (100, 245) , (125, 196) and (140, 175)

How to find factors of a number in pair

Steps to find factors of 24500 in pair

Example: Find factors of 24500 in pair

Factor Pair Pair Factorization
1 and 24500 1 x 24500 = 24500
2 and 12250 2 x 12250 = 24500
4 and 6125 4 x 6125 = 24500
5 and 4900 5 x 4900 = 24500
7 and 3500 7 x 3500 = 24500
10 and 2450 10 x 2450 = 24500
14 and 1750 14 x 1750 = 24500
20 and 1225 20 x 1225 = 24500
25 and 980 25 x 980 = 24500
28 and 875 28 x 875 = 24500
35 and 700 35 x 700 = 24500
49 and 500 49 x 500 = 24500
50 and 490 50 x 490 = 24500
70 and 350 70 x 350 = 24500
98 and 250 98 x 250 = 24500
100 and 245 100 x 245 = 24500
125 and 196 125 x 196 = 24500
140 and 175 140 x 175 = 24500

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 24500. They are called negative pair factors.

Hence, the negative pairs of 24500 would be ( -1 , -24500 ) .

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 24500 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 49 , 50 , 70 , 98 , 100 , 125 , 140 , 175 , 196 , 245 , 250 , 350 , 490 , 500 , 700 , 875 , 980 , 1225 , 1750 , 2450 , 3500 , 4900 , 6125 , 12250 , 24500. So, factors of 24500 in pair are (1,24500), (2,12250), (4,6125), (5,4900), (7,3500), (10,2450), (14,1750), (20,1225), (25,980), (28,875), (35,700), (49,500), (50,490), (70,350), (98,250), (100,245), (125,196), (140,175).

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. 24500 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 24500.
  • Every number is a factor of zero (0), since 24500 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, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, 24500 are exact divisors of 24500.
  • Factors of 24500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, 24500. Each factor divides 24500 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, 24500 are all less than or equal to 24500.

Steps to find Factors of 24500

  • Step 1. Find all the numbers that would divide 24500 without leaving any remainder. Starting with the number 1 upto 12250 (half of 24500). The number 1 and the number itself are always factors of the given number.
    24500 ÷ 1 : Remainder = 0
    24500 ÷ 2 : Remainder = 0
    24500 ÷ 4 : Remainder = 0
    24500 ÷ 5 : Remainder = 0
    24500 ÷ 7 : Remainder = 0
    24500 ÷ 10 : Remainder = 0
    24500 ÷ 14 : Remainder = 0
    24500 ÷ 20 : Remainder = 0
    24500 ÷ 25 : Remainder = 0
    24500 ÷ 28 : Remainder = 0
    24500 ÷ 35 : Remainder = 0
    24500 ÷ 49 : Remainder = 0
    24500 ÷ 50 : Remainder = 0
    24500 ÷ 70 : Remainder = 0
    24500 ÷ 98 : Remainder = 0
    24500 ÷ 100 : Remainder = 0
    24500 ÷ 125 : Remainder = 0
    24500 ÷ 140 : Remainder = 0
    24500 ÷ 175 : Remainder = 0
    24500 ÷ 196 : Remainder = 0
    24500 ÷ 245 : Remainder = 0
    24500 ÷ 250 : Remainder = 0
    24500 ÷ 350 : Remainder = 0
    24500 ÷ 490 : Remainder = 0
    24500 ÷ 500 : Remainder = 0
    24500 ÷ 700 : Remainder = 0
    24500 ÷ 875 : Remainder = 0
    24500 ÷ 980 : Remainder = 0
    24500 ÷ 1225 : Remainder = 0
    24500 ÷ 1750 : Remainder = 0
    24500 ÷ 2450 : Remainder = 0
    24500 ÷ 3500 : Remainder = 0
    24500 ÷ 4900 : Remainder = 0
    24500 ÷ 6125 : Remainder = 0
    24500 ÷ 12250 : Remainder = 0
    24500 ÷ 24500 : Remainder = 0

Hence, Factors of 24500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, and 24500

Frequently Asked Questions

  • Is 24500 a composite number?

    Yes 24500 is a composite number.

  • Is 24500 a prime number?

    No 24500 is not a prime number.

  • Is 24500 a perfect square?

    No 24500 is not a perfect square.

  • Write five multiples of 24500.

    Five multiples of 24500 are 49000, 73500, 98000, 122500, 147000.

  • Write all odd factors of 24500?

    The factors of 24500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, 24500.
    Odd factors of 24500 are 1 , 5 , 7 , 25 , 35 , 49 , 125 , 175 , 245 , 875 , 1225 , 6125.

Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 24500.
- Writing all prime factors of 24500.
- Writing all the possible factors of 24500 in pair.
Help him in writing all these.

Positive factors of 24500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, 24500.
Prime factors of 24500 are 2, 2, 5, 5, 5, 7, 7.
Factors of 24500 in pair are (1,24500), (2,12250), (4,6125), (5,4900), (7,3500), (10,2450), (14,1750), (20,1225), (25,980), (28,875), (35,700), (49,500), (50,490), (70,350), (98,250), (100,245), (125,196), (140,175).

What are the pair factors of 24500?

Factors of 24500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, 24500. Hence, the factors of 24500 in pair are (1,24500), (2,12250), (4,6125), (5,4900), (7,3500), (10,2450), (14,1750), (20,1225), (25,980), (28,875), (35,700), (49,500), (50,490), (70,350), (98,250), (100,245), (125,196), (140,175).

Can you help Sammy list the factors of 24500 and also find the factor pairs?

Factors of 24500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250, 24500.
Factors of 24500 in pair are (1,24500), (2,12250), (4,6125), (5,4900), (7,3500), (10,2450), (14,1750), (20,1225), (25,980), (28,875), (35,700), (49,500), (50,490), (70,350), (98,250), (100,245), (125,196), (140,175).

The area of a rectangle is 24500 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 24500 in pair. So, the possible combinations (1,24500), (2,12250), (4,6125), (5,4900), (7,3500), (10,2450), (14,1750), (20,1225), (25,980), (28,875), (35,700), (49,500), (50,490), (70,350), (98,250), (100,245), (125,196), (140,175).

Help Diji in finding factors of 24500 by Prime Factorization method and then sorting factors of 24500 in pairs.

Prime factorization of 24500 is 2 x 2 x 5 x 5 x 5 x 7 x 7. Factors of 24500 in pair can be written as (1,24500), (2,12250), (4,6125), (5,4900), (7,3500), (10,2450), (14,1750), (20,1225), (25,980), (28,875), (35,700), (49,500), (50,490), (70,350), (98,250), (100,245), (125,196), (140,175).

Write the smallest prime factor of 24500.

Smallest prime factor of 24500 is 2.

Write the largest prime factor of 24500.

Largest prime factor of 24500 is 7.

Diji wants to write all the negative factors of 24500. Can you help Diji in doing the same?

Negative factors of 24500 are -1, -2, -4, -5, -7, -10, -14, -20, -25, -28, -35, -49, -50, -70, -98, -100, -125, -140, -175, -196, -245, -250, -350, -490, -500, -700, -875, -980, -1225, -1750, -2450, -3500, -4900, -6125, -12250, -24500.