Factors of 15000 in pair are (1, 15000) , (2, 7500) , (3, 5000) , (4, 3750) , (5, 3000) , (6, 2500) , (8, 1875) , (10, 1500) , (12, 1250) , (15, 1000) , (20, 750) , (24, 625) , (25, 600) , (30, 500) , (40, 375) , (50, 300) , (60, 250) , (75, 200) , (100, 150) and (120, 125)

How to find factors of a number in pair

Steps to find factors of 15000 in pair

Example: Find factors of 15000 in pair

Factor Pair Pair Factorization
1 and 15000 1 x 15000 = 15000
2 and 7500 2 x 7500 = 15000
3 and 5000 3 x 5000 = 15000
4 and 3750 4 x 3750 = 15000
5 and 3000 5 x 3000 = 15000
6 and 2500 6 x 2500 = 15000
8 and 1875 8 x 1875 = 15000
10 and 1500 10 x 1500 = 15000
12 and 1250 12 x 1250 = 15000
15 and 1000 15 x 1000 = 15000
20 and 750 20 x 750 = 15000
24 and 625 24 x 625 = 15000
25 and 600 25 x 600 = 15000
30 and 500 30 x 500 = 15000
40 and 375 40 x 375 = 15000
50 and 300 50 x 300 = 15000
60 and 250 60 x 250 = 15000
75 and 200 75 x 200 = 15000
100 and 150 100 x 150 = 15000
120 and 125 120 x 125 = 15000

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 15000. They are called negative pair factors.

Hence, the negative pairs of 15000 would be ( -1 , -15000 ) .

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 15000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 125 , 150 , 200 , 250 , 300 , 375 , 500 , 600 , 625 , 750 , 1000 , 1250 , 1500 , 1875 , 2500 , 3000 , 3750 , 5000 , 7500 , 15000. So, factors of 15000 in pair are (1,15000), (2,7500), (3,5000), (4,3750), (5,3000), (6,2500), (8,1875), (10,1500), (12,1250), (15,1000), (20,750), (24,625), (25,600), (30,500), (40,375), (50,300), (60,250), (75,200), (100,150), (120,125).

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. 15000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 15000.
  • Every number is a factor of zero (0), since 15000 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, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000 are exact divisors of 15000.
  • Factors of 15000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000. Each factor divides 15000 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000 are all less than or equal to 15000.

Steps to find Factors of 15000

  • Step 1. Find all the numbers that would divide 15000 without leaving any remainder. Starting with the number 1 upto 7500 (half of 15000). The number 1 and the number itself are always factors of the given number.
    15000 ÷ 1 : Remainder = 0
    15000 ÷ 2 : Remainder = 0
    15000 ÷ 3 : Remainder = 0
    15000 ÷ 4 : Remainder = 0
    15000 ÷ 5 : Remainder = 0
    15000 ÷ 6 : Remainder = 0
    15000 ÷ 8 : Remainder = 0
    15000 ÷ 10 : Remainder = 0
    15000 ÷ 12 : Remainder = 0
    15000 ÷ 15 : Remainder = 0
    15000 ÷ 20 : Remainder = 0
    15000 ÷ 24 : Remainder = 0
    15000 ÷ 25 : Remainder = 0
    15000 ÷ 30 : Remainder = 0
    15000 ÷ 40 : Remainder = 0
    15000 ÷ 50 : Remainder = 0
    15000 ÷ 60 : Remainder = 0
    15000 ÷ 75 : Remainder = 0
    15000 ÷ 100 : Remainder = 0
    15000 ÷ 120 : Remainder = 0
    15000 ÷ 125 : Remainder = 0
    15000 ÷ 150 : Remainder = 0
    15000 ÷ 200 : Remainder = 0
    15000 ÷ 250 : Remainder = 0
    15000 ÷ 300 : Remainder = 0
    15000 ÷ 375 : Remainder = 0
    15000 ÷ 500 : Remainder = 0
    15000 ÷ 600 : Remainder = 0
    15000 ÷ 625 : Remainder = 0
    15000 ÷ 750 : Remainder = 0
    15000 ÷ 1000 : Remainder = 0
    15000 ÷ 1250 : Remainder = 0
    15000 ÷ 1500 : Remainder = 0
    15000 ÷ 1875 : Remainder = 0
    15000 ÷ 2500 : Remainder = 0
    15000 ÷ 3000 : Remainder = 0
    15000 ÷ 3750 : Remainder = 0
    15000 ÷ 5000 : Remainder = 0
    15000 ÷ 7500 : Remainder = 0
    15000 ÷ 15000 : Remainder = 0

Hence, Factors of 15000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, and 15000

Frequently Asked Questions

  • Is 15000 a composite number?

    Yes 15000 is a composite number.

  • Is 15000 a prime number?

    No 15000 is not a prime number.

  • What is the mean of factors of 15000?

    Factors of 15000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 125 , 150 , 200 , 250 , 300 , 375 , 500 , 600 , 625 , 750 , 1000 , 1250 , 1500 , 1875 , 2500 , 3000 , 3750 , 5000 , 7500 , 15000. therefore mean of factors of 15000 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 25 + 30 + 40 + 50 + 60 + 75 + 100 + 120 + 125 + 150 + 200 + 250 + 300 + 375 + 500 + 600 + 625 + 750 + 1000 + 1250 + 1500 + 1875 + 2500 + 3000 + 3750 + 5000 + 7500 + 15000) / 40 = 1171.50.

  • 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 15000 but she is finding it difficult. Can you help her find out?

Factors of 15000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000. So, factors of 15000 in pair are (1,15000), (2,7500), (3,5000), (4,3750), (5,3000), (6,2500), (8,1875), (10,1500), (12,1250), (15,1000), (20,750), (24,625), (25,600), (30,500), (40,375), (50,300), (60,250), (75,200), (100,150), (120,125).

Sammy wants to write all the negative factors of 15000 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 15000 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -25, -30, -40, -50, -60, -75, -100, -120, -125, -150, -200, -250, -300, -375, -500, -600, -625, -750, -1000, -1250, -1500, -1875, -2500, -3000, -3750, -5000, -7500, -15000. Hence, factors of 15000 in pair are (-1,-15000), (-2,-7500), (-3,-5000), (-4,-3750), (-5,-3000), (-6,-2500), (-8,-1875), (-10,-1500), (-12,-1250), (-15,-1000), (-20,-750), (-24,-625), (-25,-600), (-30,-500), (-40,-375), (-50,-300), (-60,-250), (-75,-200), (-100,-150), (-120,-125).

Help Deep in writing the positive factors of 15000 in pair and negative factor of 15000 in pair.

Factors of 15000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000. Positive factors of 15000 in pair are (1,15000), (2,7500), (3,5000), (4,3750), (5,3000), (6,2500), (8,1875), (10,1500), (12,1250), (15,1000), (20,750), (24,625), (25,600), (30,500), (40,375), (50,300), (60,250), (75,200), (100,150), (120,125). Negative factors of 15000 in pair are (-1,-15000), (-2,-7500), (-3,-5000), (-4,-3750), (-5,-3000), (-6,-2500), (-8,-1875), (-10,-1500), (-12,-1250), (-15,-1000), (-20,-750), (-24,-625), (-25,-600), (-30,-500), (-40,-375), (-50,-300), (-60,-250), (-75,-200), (-100,-150), (-120,-125).

Find the product of all factors of 15000.

Factors of 15000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000. So the product of all factors of 15000 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 20 x 24 x 25 x 30 x 40 x 50 x 60 x 75 x 100 x 120 x 125 x 150 x 200 x 250 x 300 x 375 x 500 x 600 x 625 x 750 x 1000 x 1250 x 1500 x 1875 x 2500 x 3000 x 3750 x 5000 x 7500 x 15000 = 3.325256730079651e+83.

Find the product of all prime factors of 15000.

Factors of 15000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000. Prime factors are 2, 2, 2, 3, 5, 5, 5, 5. So, the product of all prime factors of 15000 would be 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 = 15000.

Can you help Sammy list the factors of 15000 and also find the factor pairs?

Factors of 15000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000.
Factors of 15000 in pair are (1,15000), (2,7500), (3,5000), (4,3750), (5,3000), (6,2500), (8,1875), (10,1500), (12,1250), (15,1000), (20,750), (24,625), (25,600), (30,500), (40,375), (50,300), (60,250), (75,200), (100,150), (120,125).

Sammy has 15000 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 15000 blocks in all possible ways to form a rectangle, we need to calculate factors of 15000 in pair. Therefore, factors of 15000 in pair are (1,15000), (2,7500), (3,5000), (4,3750), (5,3000), (6,2500), (8,1875), (10,1500), (12,1250), (15,1000), (20,750), (24,625), (25,600), (30,500), (40,375), (50,300), (60,250), (75,200), (100,150), (120,125)