Factors of 120000

The numbers that divide 120000 evenly are known as factors of 120000. A factor of 120000 is a number that divides the number without remainder.

The factors of 120000 are numerous, but some include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 160, 200, 240, 250, 300, 400, 480, 500, 600, 750, 800, 1000, 1200, 1500, 1600, 2000, 2400, 2500, 3000, 4000, 4800, 5000, 6000, 7500, 8000, 10000, 12000, 15000, 16000, 20000, 24000, 25000, 30000, 40000, 60000, and 120000.

Negative factors of 120000: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -40, -48, -50, -60, -75, -80, -100, -120, -150, -160, -200, -240, -250, -300, -400, -480, -500, -600, -750, -800, -1000, -1200, -1500, -1600, -2000, -2400, -2500, -3000, -4000, -4800, -5000, -6000, -7500, -8000, -10000, -12000, -15000, -16000, -20000, -24000, -25000, -30000, -40000, -60000, and -120000.

Prime factors of 120000: 2, 3, and 5.

Prime factorization of 120000: (2⁷ x 3 x 5³).

The sum of factors of 120000 is a large number, but it can be calculated by summing all its factors.

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 120000. Identifying the numbers which are multiplied to get the number 120000 is the multiplication method.

Step 1: Multiply 120000 by 1, (120000 x 1 = 120000).

Step 2: Check for other numbers that give 120000 after multiplying

(2 x 60000 = 120000)

(3 x 40000 = 120000) 

(4 x 30000 = 120000)

(5 x 24000 = 120000)

(6 x 20000 = 120000)

Therefore, the positive factor pairs of 120000 are: (1, 120000), (2, 60000), (3, 40000), (4, 30000), (5, 24000), (6, 20000), etc. For every positive factor, there is a negative factor.

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

Step 1: Divide 120000 by 1, (120000 / 1 = 120000).

Step 2: Continue dividing 120000 by the numbers until the remainder becomes 0.

(120000 / 1 = 120000) 

(120000 / 2 = 60000) 

(120000 / 3 = 40000) 

(120000/4 = 30000) 

(120000 /5 = 24000)

Therefore, the factors of 120000 include: 1, 2, 3, 4, 5, 6, 8, 10, 12, and so on.

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 120000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

(120000/ 2 = 60000)

(60000 / 2 = 30000)

(30000 / 2 = 15000) 

(15000 / 2 = 7500)

(7500 / 2 = 3750)

(3750 / 2 = 1875) 

(1875 / 3 = 625)

(625 / 5 = 125)

(125 / 5 = 25)

(25 / 5 = 5)

(5/ 5 = 1)

The prime factors of 120000 are 2, 3, and 5. The prime factorization of 120000 is: (2⁷ x 3 x 5³).

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

Step 1: Firstly, 120000 is divided by 2 to get 60000.

Step 2: Now divide 60000 by 2 to get 30000.

Step 3: Then divide 30000 by 2 to get 15000.

Step 4: Divide 15000 by 2 to get 7500.

Step 5: Divide 7500 by 2 to get 3750.

Step 6: Divide 3750 by 2 to get 1875.

Step 7: Divide 1875 by 3 to get 625.

Step 8: Divide 625 by 5 to get 125.

Step 9: Divide 125 by 5 to get 25.

Step 10: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 120000 is: \(2⁷ x 3 x 5³).

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 120000: (1, 120000), (2, 60000), (3, 40000), (4, 30000), (5, 24000), (6, 20000), etc.

• Negative factor pairs of 120000: (-1, -120000), (-2, -60000), (-3, -40000), (-4, -30000), (-5, -24000), (-6, -20000), etc.

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 120000 include 1, 2, 3, 4, 5, 6, 8, 10, 12, etc.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 120000.

• 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 120000 are (1, 120000), (2, 60000), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 120000 is (2⁷ x 3 x 5³).

• Multiple: A number that can be divided by another number without a remainder. For example, 120000 is a multiple of 12.