Factors of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, and 50000

How to find factors of a number

1. Steps to find factors of 50000 using Division Method

Example: Find factors of 50000

  • Divide 50000 by 1: 50000 ÷ 1 : Remainder = 0
  • Divide 50000 by 2: 50000 ÷ 2 : Remainder = 0
  • Divide 50000 by 4: 50000 ÷ 4 : Remainder = 0
  • Divide 50000 by 5: 50000 ÷ 5 : Remainder = 0
  • Divide 50000 by 8: 50000 ÷ 8 : Remainder = 0
  • Divide 50000 by 10: 50000 ÷ 10 : Remainder = 0
  • Divide 50000 by 16: 50000 ÷ 16 : Remainder = 0
  • Divide 50000 by 20: 50000 ÷ 20 : Remainder = 0
  • Divide 50000 by 25: 50000 ÷ 25 : Remainder = 0
  • Divide 50000 by 40: 50000 ÷ 40 : Remainder = 0
  • Divide 50000 by 50: 50000 ÷ 50 : Remainder = 0
  • Divide 50000 by 80: 50000 ÷ 80 : Remainder = 0
  • Divide 50000 by 100: 50000 ÷ 100 : Remainder = 0
  • Divide 50000 by 125: 50000 ÷ 125 : Remainder = 0
  • Divide 50000 by 200: 50000 ÷ 200 : Remainder = 0
  • Divide 50000 by 250: 50000 ÷ 250 : Remainder = 0
  • Divide 50000 by 400: 50000 ÷ 400 : Remainder = 0
  • Divide 50000 by 500: 50000 ÷ 500 : Remainder = 0
  • Divide 50000 by 625: 50000 ÷ 625 : Remainder = 0
  • Divide 50000 by 1000: 50000 ÷ 1000 : Remainder = 0
  • Divide 50000 by 1250: 50000 ÷ 1250 : Remainder = 0
  • Divide 50000 by 2000: 50000 ÷ 2000 : Remainder = 0
  • Divide 50000 by 2500: 50000 ÷ 2500 : Remainder = 0
  • Divide 50000 by 3125: 50000 ÷ 3125 : Remainder = 0
  • Divide 50000 by 5000: 50000 ÷ 5000 : Remainder = 0
  • Divide 50000 by 6250: 50000 ÷ 6250 : Remainder = 0
  • Divide 50000 by 10000: 50000 ÷ 10000 : Remainder = 0
  • Divide 50000 by 12500: 50000 ÷ 12500 : Remainder = 0
  • Divide 50000 by 25000: 50000 ÷ 25000 : Remainder = 0
  • Divide 50000 by 50000: 50000 ÷ 50000 : Remainder = 0

Hence, Factors of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, and 50000

2. Steps to find factors of 50000 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 50000 using the division method, follow these steps:

  • Step 1. Start dividing 50000 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 50000, which is 2. Divide 50000 by 2 to obtain the quotient (25000).
    50000 ÷ 2 = 25000
  • Step 3. Repeat step 1 with the obtained quotient (25000).
    25000 ÷ 2 = 12500
    12500 ÷ 2 = 6250
    6250 ÷ 2 = 3125
    3125 ÷ 5 = 625
    625 ÷ 5 = 125
    125 ÷ 5 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 50000 is, 50000 = 2 x 2 x 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 50000 as shown below:

So, the prime factorization of 50000 is, 50000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5.

3. Find factors of 50000 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 50000 would be the two numbers which, when multiplied, give 50000 as the result.

The following table represents the calculation of factors of 50000 in pairs:

Factor Pair Pair Factorization
1 and 50000 1 x 50000 = 50000
2 and 25000 2 x 25000 = 50000
4 and 12500 4 x 12500 = 50000
5 and 10000 5 x 10000 = 50000
8 and 6250 8 x 6250 = 50000
10 and 5000 10 x 5000 = 50000
16 and 3125 16 x 3125 = 50000
20 and 2500 20 x 2500 = 50000
25 and 2000 25 x 2000 = 50000
40 and 1250 40 x 1250 = 50000
50 and 1000 50 x 1000 = 50000
80 and 625 80 x 625 = 50000
100 and 500 100 x 500 = 50000
125 and 400 125 x 400 = 50000
200 and 250 200 x 250 = 50000

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 50000. They are called negative pair factors.

Hence, the negative pairs of 50000 would be ( -1 , -50000 ) , ( -2 , -25000 ) , ( -4 , -12500 ) , ( -5 , -10000 ) , ( -8 , -6250 ) , ( -10 , -5000 ) , ( -16 , -3125 ) , ( -20 , -2500 ) , ( -25 , -2000 ) , ( -40 , -1250 ) , ( -50 , -1000 ) , ( -80 , -625 ) , ( -100 , -500 ) , ( -125 , -400 ) and ( -200 , -250 ) .

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. 50000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 50000.
  • Every number is a factor of zero (0), since 50000 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, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000 are exact divisors of 50000.
  • Factors of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000. Each factor divides 50000 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000 are all less than or equal to 50000.

Frequently Asked Questions

  • What are the pair factors of 50000?

    Pair factors of 50000 are (1,50000), (2,25000), (4,12500), (5,10000), (8,6250), (10,5000), (16,3125), (20,2500), (25,2000), (40,1250), (50,1000), (80,625), (100,500), (125,400), (200,250).

  • What are five multiples of 50000?

    First five multiples of 50000 are 100000, 150000, 200000, 250000, 300000.

  • What two numbers make 50000?

    Two numbers that make 50000 are 2 and 25000.

  • What is the sum of all factors of 50000?

    The sum of all factors of 50000 is 121086.

  • What are factors of -50000?

    Factors of -50000 are -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -125, -200, -250, -400, -500, -625, -1000, -1250, -2000, -2500, -3125, -5000, -6250, -10000, -12500, -25000, -50000.

  • What are factors of 50000?

    Factors of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000.

  • Is 50000 a perfect square?

    No 50000 is not a perfect square.

  • Which is the smallest prime factor of 50000?

    Smallest prime factor of 50000 is 2.

  • Which is greatest factor of 50000?

    The greatest factor of 50000 is 25000.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 50000?

Factors of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000.
Odd factors of 50000 are 1, 5, 25, 125, 625, 3125.
Hence product of odd factors of 50000 is; 1 x 5 x 25 x 125 x 625 x 3125 = 30517578125.

Joey wants to write all the prime factors of 50000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 50000 are 2, 2, 2, 2, 5, 5, 5, 5, 5.
So in exponential form it can be written as 24 x 55.

How many factors are there for 50000?

Factors of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000.
So there are in total 30 factors.

Kevin has been asked to write 29 factor(s) of 50000. Can you predict the answer?

29 factor(s) of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000.

Sammy is puzzled while calculating the prime factors of 50000. Can you help him find them?

Factors of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000.
Prime factors of 50000 are 2, 2, 2, 2, 5, 5, 5, 5, 5

What is prime factorization of 50000?

Prime factorization of 50000 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 = 24 x 55.

Can you help Rubel to find out the product of the even factors of 50000?

Factors of 50000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000, 50000.
Even factors of 50000 are 2, 4, 8, 10, 16, 20, 40, 50, 80, 100, 200, 250, 400, 500, 1000, 1250, 2000, 2500, 5000, 6250, 10000, 12500, 25000, 50000.
Hence, product of even factors of 50000 is; 2 x 4 x 8 x 10 x 16 x 20 x 40 x 50 x 80 x 100 x 200 x 250 x 400 x 500 x 1000 x 1250 x 2000 x 2500 x 5000 x 6250 x 10000 x 12500 x 25000 x 50000 = 1.0000000000000003e+60.