Factors of 240000

The numbers that divide 240000 evenly are known as factors of 240000. A factor of 240000 is a number that divides the number without a remainder.

The factors of 240000 include numbers such as 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 125, 150, 160, 192, 200, 240, 250, 300, 320, 375, 400, 480, 500, 600, 625, 750, 800, 960, 1000, 1200, 1250, 1500, 1600, 1920, 2000, 2400, 2500, 3000, 3200, 3750, 4000, 4800, 5000, 6000, 7500, 8000, 9600, 10000, 12000, 12500, 15000, 16000, 19200, 20000, 24000, 25000, 30000, 40000, 48000, 60000, 75000, 80000, 120000, 150000, 240000.

Negative factors of 240000: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -64, -75, -80, -96, -100, -120, -125, -150, -160, -192, -200, -240, -250, -300, -320, -375, -400, -480, -500, -600, -625, -750, -800, -960, -1000, -1200, -1250, -1500, -1600, -1920, -2000, -2400, -2500, -3000, -3200, -3750, -4000, -4800, -5000, -6000, -7500, -8000, -9600, -10000, -12000, -12500, -15000, -16000, -19200, -20000, -24000, -25000, -30000, -40000, -48000, -60000, -75000, -80000, -120000, -150000, -240000.

Prime factors of 240000: 2, 3, and 5.

Prime factorization of 240000: 2⁷ × 3 × 5⁴.

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

1. Finding factors using multiplication
2. Finding factors using 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 240000. Identifying the numbers which are multiplied to get the number 240000 is the multiplication method.

Step 1: Multiply 240000 by 1, 240000 × 1 = 240000.

Step 2: Check for other numbers that give 240000 after multiplying

2 × 120000 = 240000

3 × 80000 = 240000

4 × 60000 = 240000

5 × 48000 = 240000

6 × 40000 = 240000

8 × 30000 = 240000

10 × 24000 = 240000

Therefore, the positive factor pairs of 240000 include: (1, 240000), (2, 120000), (3, 80000), (4, 60000), (5, 48000), (6, 40000), (8, 30000), (10, 24000), etc. For every positive factor, there is a negative factor.

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

Step 1: Divide 240000 by 1, 240000 ÷ 1 = 240000.

Step 2: Continue dividing 240000 by the numbers until the remainder becomes 0.

240000 ÷ 1 = 240000

240000 ÷ 2 = 120000

240000 ÷ 3 = 80000

240000 ÷ 4 = 60000

240000 ÷ 5 = 48000

Therefore, the factors of 240000 include numbers such as 1, 2, 3, 4, 5, 6, 8, 10, 12, etc.

The factors can be found by dividing a number 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 240000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

240000 ÷ 2 = 120000

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 240000 are 2, 3, and 5. The prime factorization of 240000 is: 2⁷ × 3 × 5⁴

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

Step 1: Firstly, 240000 is divided by 2 to get 120000.

Step 2: Now divide 120000 by 2 to get 60000.

Step 3: Then divide 60000 by 2 to get 30000.

Step 4: Continue dividing by 2 until you reach 1875, then divide by 3 to get 625.

Step 5: Divide 625 by 5 repeatedly until you cannot divide anymore. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 240000 is: 2⁷ × 3 × 5^4.

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 240000: (1, 240000), (2, 120000), (3, 80000), (4, 60000), (5, 48000), (6, 40000), (8, 30000), (10, 24000), etc.

• Negative factor pairs of 240000: (-1, -240000), (-2, -120000), (-3, -80000), (-4, -60000), (-5, -48000), (-6, -40000), (-8, -30000), (-10, -24000), etc.

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 240000 include numbers such as 1, 2, 3, 4, 5, etc.

• Prime Factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 240000.

• 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 240000 include (1, 240000), (2, 120000), etc.

• Prime Factorization: The expression of a number as a product of its prime factors. For 240000, it is 2⁷ × 3 × 5⁴.

• Multiple: A number that can be divided by another number without a remainder. For example, 240000 is a multiple of 8.