1. Steps to find factors of 12500 using Division Method

Example: Find factors of 12500

  • Divide 12500 by 1: 12500 ÷ 1 : Remainder = 0
  • Divide 12500 by 2: 12500 ÷ 2 : Remainder = 0
  • Divide 12500 by 4: 12500 ÷ 4 : Remainder = 0
  • Divide 12500 by 5: 12500 ÷ 5 : Remainder = 0
  • Divide 12500 by 10: 12500 ÷ 10 : Remainder = 0
  • Divide 12500 by 20: 12500 ÷ 20 : Remainder = 0
  • Divide 12500 by 25: 12500 ÷ 25 : Remainder = 0
  • Divide 12500 by 50: 12500 ÷ 50 : Remainder = 0
  • Divide 12500 by 100: 12500 ÷ 100 : Remainder = 0
  • Divide 12500 by 125: 12500 ÷ 125 : Remainder = 0
  • Divide 12500 by 250: 12500 ÷ 250 : Remainder = 0
  • Divide 12500 by 500: 12500 ÷ 500 : Remainder = 0
  • Divide 12500 by 625: 12500 ÷ 625 : Remainder = 0
  • Divide 12500 by 1250: 12500 ÷ 1250 : Remainder = 0
  • Divide 12500 by 2500: 12500 ÷ 2500 : Remainder = 0
  • Divide 12500 by 3125: 12500 ÷ 3125 : Remainder = 0
  • Divide 12500 by 6250: 12500 ÷ 6250 : Remainder = 0
  • Divide 12500 by 12500: 12500 ÷ 12500 : Remainder = 0

Hence, Factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, and 12500

2. Steps to find factors of 12500 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 12500 using the division method, follow these steps:

  • Step 1. Start dividing 12500 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 12500, which is 2. Divide 12500 by 2 to obtain the quotient (6250).
    12500 ÷ 2 = 6250
  • Step 3. Repeat step 1 with the obtained quotient (6250).
    6250 ÷ 2 = 3125
    3125 ÷ 5 = 625
    625 ÷ 5 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 12500 is, 12500 = 2 x 2 x 5 x 5 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 12500 as shown below:

So, the prime factorization of 12500 is, 12500 = 2 x 2 x 5 x 5 x 5 x 5 x 5.

3. Find factors of 12500 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 12500 would be the two numbers which, when multiplied, give 12500 as the result.

The following table represents the calculation of factors of 12500 in pairs:

Factor Pair Pair Factorization
1 and 12500 1 x 12500 = 12500
2 and 6250 2 x 6250 = 12500
4 and 3125 4 x 3125 = 12500
5 and 2500 5 x 2500 = 12500
10 and 1250 10 x 1250 = 12500
20 and 625 20 x 625 = 12500
25 and 500 25 x 500 = 12500
50 and 250 50 x 250 = 12500
100 and 125 100 x 125 = 12500

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 12500. They are called negative pair factors.

Hence, the negative pairs of 12500 would be ( -1 , -12500 ) , ( -2 , -6250 ) , ( -4 , -3125 ) , ( -5 , -2500 ) , ( -10 , -1250 ) , ( -20 , -625 ) , ( -25 , -500 ) , ( -50 , -250 ) and ( -100 , -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. 12500 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 12500.
  • Every number is a factor of zero (0), since 12500 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, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500 are exact divisors of 12500.
  • Factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500. Each factor divides 12500 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500 are all less than or equal to 12500.

Frequently Asked Questions

  • What is prime factorization of 12500?

    Prime factorization of 12500 is 2 x 2 x 5 x 5 x 5 x 5 x 5.

  • How do you find factors of a negative number? ( eg. -12500 )?

    Factors of -12500 are -1, -2, -4, -5, -10, -20, -25, -50, -100, -125, -250, -500, -625, -1250, -2500, -3125, -6250, -12500.

  • What are the prime factors of 12500?

    The factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500.
    Prime factors of 12500 are 2, 2, 5, 5, 5, 5, 5.

  • What are pair factors of 12500?

    The pair factors of 12500 are (1,12500), (2,6250), (4,3125), (5,2500), (10,1250), (20,625), (25,500), (50,250), (100,125).

  • What is the greatest prime factors of 12500?

    The greatest prime factor of 12500 is 5.

  • What are six multiples of 12500?

    First five multiples of 12500 are 25000, 37500, 50000, 62500, 75000, 87500.

  • What are factors of 12500?

    Factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500.

  • Which is the smallest prime factor of 12500?

    Smallest prime factor of 12500 is 2.

  • Is 12500 a whole number?

    Yes 12500 is a whole number.

Examples of Factors

Kevin has been asked to write 17 factor(s) of 12500. Can you predict the answer?

17 factor(s) of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250.

Sammy is puzzled while calculating the prime factors of 12500. Can you help him find them?

Factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500.
Prime factors of 12500 are 2, 2, 5, 5, 5, 5, 5

What is prime factorization of 12500?

Prime factorization of 12500 is 2 x 2 x 5 x 5 x 5 x 5 x 5 = 22 x 55.

Ariel has been assigned the task to find the product of all the prime factors of 12500. Can you help her?

Prime factors of 12500 are 2, 2, 5, 5, 5, 5, 5.
Hence, the product of prime factors of 10.

Can you help Rubel to find out the product of the even factors of 12500?

Factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500.
Even factors of 12500 are 2, 4, 10, 20, 50, 100, 250, 500, 1250, 2500, 6250, 12500.
Hence, product of even factors of 12500 is; 2 x 4 x 10 x 20 x 50 x 100 x 250 x 500 x 1250 x 2500 x 6250 x 12500 = 2.4414062500000004e+26.

Joy wants to calculate mean of all the factors of 12500. Help him in finding the mean of 12500.

Factors of 12500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 12500 is 1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 + 125 + 250 + 500 + 625 + 1250 + 2500 + 3125 + 6250 + 12500 = 27342.
Hence, the mean of factors of 12500 is 27342 ÷ 18 = 1519.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 12500? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250, 12500.
Negative factors are -1, -2, -4, -5, -10, -20, -25, -50, -100, -125, -250, -500, -625, -1250, -2500, -3125, -6250, -12500.