Factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, and 100000

How to find factors of a number

1. Steps to find factors of 100000 using Division Method

Example: Find factors of 100000

  • Divide 100000 by 1: 100000 ÷ 1 : Remainder = 0
  • Divide 100000 by 2: 100000 ÷ 2 : Remainder = 0
  • Divide 100000 by 4: 100000 ÷ 4 : Remainder = 0
  • Divide 100000 by 5: 100000 ÷ 5 : Remainder = 0
  • Divide 100000 by 8: 100000 ÷ 8 : Remainder = 0
  • Divide 100000 by 10: 100000 ÷ 10 : Remainder = 0
  • Divide 100000 by 16: 100000 ÷ 16 : Remainder = 0
  • Divide 100000 by 20: 100000 ÷ 20 : Remainder = 0
  • Divide 100000 by 25: 100000 ÷ 25 : Remainder = 0
  • Divide 100000 by 32: 100000 ÷ 32 : Remainder = 0
  • Divide 100000 by 40: 100000 ÷ 40 : Remainder = 0
  • Divide 100000 by 50: 100000 ÷ 50 : Remainder = 0
  • Divide 100000 by 80: 100000 ÷ 80 : Remainder = 0
  • Divide 100000 by 100: 100000 ÷ 100 : Remainder = 0
  • Divide 100000 by 125: 100000 ÷ 125 : Remainder = 0
  • Divide 100000 by 160: 100000 ÷ 160 : Remainder = 0
  • Divide 100000 by 200: 100000 ÷ 200 : Remainder = 0
  • Divide 100000 by 250: 100000 ÷ 250 : Remainder = 0
  • Divide 100000 by 400: 100000 ÷ 400 : Remainder = 0
  • Divide 100000 by 500: 100000 ÷ 500 : Remainder = 0
  • Divide 100000 by 625: 100000 ÷ 625 : Remainder = 0
  • Divide 100000 by 800: 100000 ÷ 800 : Remainder = 0
  • Divide 100000 by 1000: 100000 ÷ 1000 : Remainder = 0
  • Divide 100000 by 1250: 100000 ÷ 1250 : Remainder = 0
  • Divide 100000 by 2000: 100000 ÷ 2000 : Remainder = 0
  • Divide 100000 by 2500: 100000 ÷ 2500 : Remainder = 0
  • Divide 100000 by 3125: 100000 ÷ 3125 : Remainder = 0
  • Divide 100000 by 4000: 100000 ÷ 4000 : Remainder = 0
  • Divide 100000 by 5000: 100000 ÷ 5000 : Remainder = 0
  • Divide 100000 by 6250: 100000 ÷ 6250 : Remainder = 0
  • Divide 100000 by 10000: 100000 ÷ 10000 : Remainder = 0
  • Divide 100000 by 12500: 100000 ÷ 12500 : Remainder = 0
  • Divide 100000 by 20000: 100000 ÷ 20000 : Remainder = 0
  • Divide 100000 by 25000: 100000 ÷ 25000 : Remainder = 0
  • Divide 100000 by 50000: 100000 ÷ 50000 : Remainder = 0
  • Divide 100000 by 100000: 100000 ÷ 100000 : Remainder = 0

Hence, Factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, and 100000

2. Steps to find factors of 100000 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 100000 using the division method, follow these steps:

  • Step 1. Start dividing 100000 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 100000, which is 2. Divide 100000 by 2 to obtain the quotient (50000).
    100000 ÷ 2 = 50000
  • Step 3. Repeat step 1 with the obtained quotient (50000).
    50000 ÷ 2 = 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 100000 is, 100000 = 2 x 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 100000 as shown below:

So, the prime factorization of 100000 is, 100000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5.

3. Find factors of 100000 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 100000 would be the two numbers which, when multiplied, give 100000 as the result.

The following table represents the calculation of factors of 100000 in pairs:

Factor Pair Pair Factorization
1 and 100000 1 x 100000 = 100000
2 and 50000 2 x 50000 = 100000
4 and 25000 4 x 25000 = 100000
5 and 20000 5 x 20000 = 100000
8 and 12500 8 x 12500 = 100000
10 and 10000 10 x 10000 = 100000
16 and 6250 16 x 6250 = 100000
20 and 5000 20 x 5000 = 100000
25 and 4000 25 x 4000 = 100000
32 and 3125 32 x 3125 = 100000
40 and 2500 40 x 2500 = 100000
50 and 2000 50 x 2000 = 100000
80 and 1250 80 x 1250 = 100000
100 and 1000 100 x 1000 = 100000
125 and 800 125 x 800 = 100000
160 and 625 160 x 625 = 100000
200 and 500 200 x 500 = 100000
250 and 400 250 x 400 = 100000

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 100000. They are called negative pair factors.

Hence, the negative pairs of 100000 would be ( -1 , -100000 ) , ( -2 , -50000 ) , ( -4 , -25000 ) , ( -5 , -20000 ) , ( -8 , -12500 ) , ( -10 , -10000 ) , ( -16 , -6250 ) , ( -20 , -5000 ) , ( -25 , -4000 ) , ( -32 , -3125 ) , ( -40 , -2500 ) , ( -50 , -2000 ) , ( -80 , -1250 ) , ( -100 , -1000 ) , ( -125 , -800 ) , ( -160 , -625 ) , ( -200 , -500 ) and ( -250 , -400 ) .

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. 100000 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 100000.
  • Every number is a factor of zero (0), since 100000 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, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000 are exact divisors of 100000.
  • Factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000. Each factor divides 100000 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, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000 are all less than or equal to 100000.

Frequently Asked Questions

  • What are the prime factors of 100000?

    The factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.
    Prime factors of 100000 are 2, 2, 2, 2, 2, 5, 5, 5, 5, 5.

  • What is the sum of all factors of 100000?

    The sum of all factors of 100000 is 246078.

  • What are the pair factors of 100000?

    Pair factors of 100000 are (1,100000), (2,50000), (4,25000), (5,20000), (8,12500), (10,10000), (16,6250), (20,5000), (25,4000), (32,3125), (40,2500), (50,2000), (80,1250), (100,1000), (125,800), (160,625), (200,500), (250,400).

  • What two numbers make 100000?

    Two numbers that make 100000 are 2 and 50000.

  • What are multiples of 100000?

    First five multiples of 100000 are 200000, 300000, 400000, 500000.

  • Is 100000 a perfect square?

    No 100000 is not a perfect square.

  • Which is greatest factor of 100000?

    The greatest factor of 100000 is 50000.

  • How do you factors of 100000?

    Factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.

  • What are five multiples of 100000?

    First five multiples of 100000 are 200000, 300000, 400000, 500000, 600000.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 100000?

Factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.
Even factors of 100000 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 80, 100, 160, 200, 250, 400, 500, 800, 1000, 1250, 2000, 2500, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.
Hence, product of even factors of 100000 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 50 x 80 x 100 x 160 x 200 x 250 x 400 x 500 x 800 x 1000 x 1250 x 2000 x 2500 x 4000 x 5000 x 6250 x 10000 x 12500 x 20000 x 25000 x 50000 x 100000 = 3.2768000000000004e+79.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 100000? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.
Negative factors are -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -80, -100, -125, -160, -200, -250, -400, -500, -625, -800, -1000, -1250, -2000, -2500, -3125, -4000, -5000, -6250, -10000, -12500, -20000, -25000, -50000, -100000.

How many factors are there for 100000?

Factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.
So there are in total 36 factors.

Sammy is puzzled while calculating the prime factors of 100000. Can you help him find them?

Factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.
Prime factors of 100000 are 2, 2, 2, 2, 2, 5, 5, 5, 5, 5

Joey wants to write all the prime factors of 100000 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 100000 are 2, 2, 2, 2, 2, 5, 5, 5, 5, 5.
So in exponential form it can be written as 25 x 55.

What is prime factorization of 100000?

Prime factorization of 100000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 = 25 x 55.

Can you help Rubel to find out the product of the even factors of 100000?

Factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.
Even factors of 100000 are 2, 4, 8, 10, 16, 20, 32, 40, 50, 80, 100, 160, 200, 250, 400, 500, 800, 1000, 1250, 2000, 2500, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000.
Hence, product of even factors of 100000 is; 2 x 4 x 8 x 10 x 16 x 20 x 32 x 40 x 50 x 80 x 100 x 160 x 200 x 250 x 400 x 500 x 800 x 1000 x 1250 x 2000 x 2500 x 4000 x 5000 x 6250 x 10000 x 12500 x 20000 x 25000 x 50000 x 100000 = 3.2768000000000004e+79.