Factors of 97104

The numbers that divide 97104 evenly are known as factors of 97104. A factor of 97104 is a number that divides the number without remainder. The factors of 97104 include numbers like 1, 2, 3, 4, 6, 8, 12, and others up to 97104.

Negative factors of 97104: -1, -2, -3, -4, -6, -8, -12, and others up to -97104.

Prime factors of 97104: 2 and 3.

Prime factorization of 97104: 2⁴ × 3³ × 449.

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 97104. Identifying the numbers which are multiplied to get the number 97104 is the multiplication method.

Step 1: Multiply 97104 by 1, 97104 × 1 = 97104.

Step 2: Check for other numbers that give 97104 after multiplying

2 × 48552 = 97104

3 × 32368 = 97104

4 × 24276 = 97104

6 × 16184 = 97104

Therefore, the positive factor pairs of 97104 include: (1, 97104), (2, 48552), (3, 32368), (4, 24276), (6, 16184), 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 whole numbers as factors. Factors can be calculated by following the simple division method -

Step 1: Divide 97104 by 1, 97104 ÷ 1 = 97104.

Step 2: Continue dividing 97104 by the numbers until the remainder becomes 0.

97104 ÷ 1 = 97104

97104 ÷ 2 = 48552

97104 ÷ 3 = 32368

97104 ÷ 4 = 24276

97104 ÷ 6 = 16184

Therefore, the factors of 97104 include: 1, 2, 3, 4, 6, 8, 12, and others up to 97104.

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 97104 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

97104 ÷ 2 = 48552

48552 ÷ 2 = 24276

24276 ÷ 2 = 12138

12138 ÷ 2 = 6069

6069 ÷ 3 = 2023

2023 ÷ 449 = 1

The prime factors of 97104 are 2, 3, and 449. The prime factorization of 97104 is: 2⁴ × 3³ × 449.

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

Step 1: Firstly, 97104 is divided by 2 to get 48552.

Step 2: Now divide 48552 by 2 to get 24276.

Step 3: Then divide 24276 by 2 to get 12138.

Step 4: Divide 12138 by 2 to get 6069.

Step 5: Divide 6069 by 3 to get 2023.

Step 6: Divide 2023 by 449 to get 1.

So, the prime factorization of 97104 is: 2⁴ × 3³ × 449.

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 97104 include 1, 2, 3, 4, 6, 8, 12, and others up to 97104.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 449 are prime factors of 97104.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, some factor pairs of 97104 are (1, 97104), (2, 48552), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 97104 is 2⁴ × 3³ × 449.

• Multiple: A number that can be divided by another number without leaving a remainder. For example, 97104 is a multiple of 8.