Factors of 100000

The numbers that divide 100000 evenly are known as factors of 100000. A factor of 100000 is a number that divides the number without remainder.

The factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000, 20000, 25000, 50000, and 100000.

Negative factors of 100000: -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -125, -200, -250, -400, -500, -625, -1000, -1250, -2000, -2500, -5000, -10000, -20000, -25000, -50000, and -100000.

Prime factors of 100000: 2 and 5.

Prime factorization of 100000: 2⁵ × 5⁵.

The sum of factors of 100000: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 40 + 50 + 80 + 100 + 125 + 200 + 250 + 400 + 500 + 625 + 1000 + 1250 + 2000 + 2500 + 5000 + 10000 + 20000 + 25000 + 50000 + 100000 = 248043

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using the division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 100000. Identifying the numbers which are multiplied to get the number 100000 is the multiplication method.

Step 1: Multiply 100000 by 1, 100000 × 1 = 100000.

Step 2: Check for other numbers that give 100000 after multiplying

2 × 50000 = 100000

4 × 25000 = 100000

5 × 20000 = 100000

8 × 12500 = 100000

10 × 10000 = 100000

Therefore, the positive factor pairs of 100000 are: (1, 100000), (2, 50000), (4, 25000), (5, 20000), (8, 12500), (10, 10000), etc. For every positive factor, there is a negative factor.

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 100000 by 1, 100000 ÷ 1 = 100000.

Step 2: Continue dividing 100000 by the numbers until the remainder becomes 0.

100000 ÷ 1 = 100000

100000 ÷ 2 = 50000

100000 ÷ 4 = 25000

100000 ÷ 5 = 20000

100000 ÷ 8 = 12500

100000 ÷ 10 = 10000

Therefore, the factors of 100000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000, 20000, 25000, 50000, 100000.

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 100000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

100000 ÷ 2 = 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

The prime factors of 100000 are 2 and 5. The prime factorization of 100000 is: 2⁵ × 5⁵.

The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -

Step 1: Firstly, 100000 is divided by 2 to get 50000.

Step 2: Now divide 50000 by 2 to get 25000.

Step 3: Then divide 25000 by 2 to get 12500.

Step 4: Divide 12500 by 2 to get 6250.

Step 5: Divide 6250 by 2 to get 3125.

Here, 3125 is divided by 5 continuously until the remainder becomes 1. So, the prime factorization of 100000 is: 2⁵ × 5⁵.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 100000: (1, 100000), (2, 50000), (4, 25000), (5, 20000), (8, 12500), (10, 10000), etc.

• Negative factor pairs of 100000: (-1, -100000), (-2, -50000), (-4, -25000), (-5, -20000), (-8, -12500), (-10, -10000), etc.

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 100000 are 1, 2, 4, 5, 8, etc.

• Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 100000.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 100000 are (1, 100000), (2, 50000), etc.

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.

• Division method: A method to find factors by dividing the original number by whole numbers until the remainder is zero.