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

How to find factors of a number

1. Steps to find factors of 15000 using Division Method

Example: Find factors of 15000

  • Divide 15000 by 1: 15000 ÷ 1 : Remainder = 0
  • Divide 15000 by 2: 15000 ÷ 2 : Remainder = 0
  • Divide 15000 by 3: 15000 ÷ 3 : Remainder = 0
  • Divide 15000 by 4: 15000 ÷ 4 : Remainder = 0
  • Divide 15000 by 5: 15000 ÷ 5 : Remainder = 0
  • Divide 15000 by 6: 15000 ÷ 6 : Remainder = 0
  • Divide 15000 by 8: 15000 ÷ 8 : Remainder = 0
  • Divide 15000 by 10: 15000 ÷ 10 : Remainder = 0
  • Divide 15000 by 12: 15000 ÷ 12 : Remainder = 0
  • Divide 15000 by 15: 15000 ÷ 15 : Remainder = 0
  • Divide 15000 by 20: 15000 ÷ 20 : Remainder = 0
  • Divide 15000 by 24: 15000 ÷ 24 : Remainder = 0
  • Divide 15000 by 25: 15000 ÷ 25 : Remainder = 0
  • Divide 15000 by 30: 15000 ÷ 30 : Remainder = 0
  • Divide 15000 by 40: 15000 ÷ 40 : Remainder = 0
  • Divide 15000 by 50: 15000 ÷ 50 : Remainder = 0
  • Divide 15000 by 60: 15000 ÷ 60 : Remainder = 0
  • Divide 15000 by 75: 15000 ÷ 75 : Remainder = 0
  • Divide 15000 by 100: 15000 ÷ 100 : Remainder = 0
  • Divide 15000 by 120: 15000 ÷ 120 : Remainder = 0
  • Divide 15000 by 125: 15000 ÷ 125 : Remainder = 0
  • Divide 15000 by 150: 15000 ÷ 150 : Remainder = 0
  • Divide 15000 by 200: 15000 ÷ 200 : Remainder = 0
  • Divide 15000 by 250: 15000 ÷ 250 : Remainder = 0
  • Divide 15000 by 300: 15000 ÷ 300 : Remainder = 0
  • Divide 15000 by 375: 15000 ÷ 375 : Remainder = 0
  • Divide 15000 by 500: 15000 ÷ 500 : Remainder = 0
  • Divide 15000 by 600: 15000 ÷ 600 : Remainder = 0
  • Divide 15000 by 625: 15000 ÷ 625 : Remainder = 0
  • Divide 15000 by 750: 15000 ÷ 750 : Remainder = 0
  • Divide 15000 by 1000: 15000 ÷ 1000 : Remainder = 0
  • Divide 15000 by 1250: 15000 ÷ 1250 : Remainder = 0
  • Divide 15000 by 1500: 15000 ÷ 1500 : Remainder = 0
  • Divide 15000 by 1875: 15000 ÷ 1875 : Remainder = 0
  • Divide 15000 by 2500: 15000 ÷ 2500 : Remainder = 0
  • Divide 15000 by 3000: 15000 ÷ 3000 : Remainder = 0
  • Divide 15000 by 3750: 15000 ÷ 3750 : Remainder = 0
  • Divide 15000 by 5000: 15000 ÷ 5000 : Remainder = 0
  • Divide 15000 by 7500: 15000 ÷ 7500 : Remainder = 0
  • Divide 15000 by 15000: 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

2. Steps to find factors of 15000 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 15000 using the division method, follow these steps:

  • Step 1. Start dividing 15000 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 15000, which is 2. Divide 15000 by 2 to obtain the quotient (7500).
    15000 ÷ 2 = 7500
  • Step 3. Repeat step 1 with the obtained quotient (7500).
    7500 ÷ 2 = 3750
    3750 ÷ 2 = 1875
    1875 ÷ 3 = 625
    625 ÷ 5 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 15000 is, 15000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 15000 as shown below:

So, the prime factorization of 15000 is, 15000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5.

3. Find factors of 15000 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 15000 would be the two numbers which, when multiplied, give 15000 as the result.

The following table represents the calculation of factors of 15000 in pairs:

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 ) , ( -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 ) .

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.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -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.

  • What is the sum of all factors of 15000?

    The sum of all factors of 15000 is 46860.

  • What is prime factorization of 15000?

    Prime factorization of 15000 is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5.

  • What are the pair factors of 15000?

    Pair factors of 15000 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 six multiples of 15000?

    First five multiples of 15000 are 30000, 45000, 60000, 75000, 90000, 105000.

  • Is 15000 a whole number?

    Yes 15000 is a whole number.

  • Which is the smallest prime factor of 15000?

    Smallest prime factor of 15000 is 2.

  • What are five multiples of 15000?

    First five multiples of 15000 are 30000, 45000, 60000, 75000, 90000.

  • Write 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.

Examples of Factors

Joey wants to write all the prime factors of 15000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 15000 are 2, 2, 2, 3, 5, 5, 5, 5.
So in exponential form it can be written as 23 x 3 x 54.

How many factors are there for 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 there are in total 40 factors.

Kevin has been asked to write 39 factor(s) of 15000. Can you predict the answer?

39 factor(s) 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.

Sammy is puzzled while calculating the prime factors of 15000. Can you help him find them?

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 of 15000 are 2, 2, 2, 3, 5, 5, 5, 5

What is prime factorization of 15000?

Prime factorization of 15000 is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 = 23 x 3 x 54.

Ariel has been assigned the task to find the product of all the prime factors of 15000. Can you help her?

Prime factors of 15000 are 2, 2, 2, 3, 5, 5, 5, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even 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.
Even factors of 15000 are 2, 4, 6, 8, 10, 12, 20, 24, 30, 40, 50, 60, 100, 120, 150, 200, 250, 300, 500, 600, 750, 1000, 1250, 1500, 2500, 3000, 3750, 5000, 7500, 15000.
Hence, product of even factors of 15000 is; 2 x 4 x 6 x 8 x 10 x 12 x 20 x 24 x 30 x 40 x 50 x 60 x 100 x 120 x 150 x 200 x 250 x 300 x 500 x 600 x 750 x 1000 x 1250 x 1500 x 2500 x 3000 x 3750 x 5000 x 7500 x 15000 = 1.4348907e+67.