Factors of 97

The numbers that divide 97 evenly are known as factors of 97. A factor of 97 is a number that divides the number without a remainder. The factors of 97 are 1 and 97.

Negative factors of 97: -1 and -97.

Prime factors of 97: 97 itself, as it is a prime number.

Prime factorization of 97: 97, since it is a prime number.

The sum of factors of 97: 1 + 97 = 98

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 97. Since 97 is a prime number, the only multiplication that works for 97 is 1 × 97.

Step 1: Multiply 97 by 1, 97 × 1 = 97.

Therefore, the positive factor pairs of 97 are: (1, 97).

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 in whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 97 by 1, 97 ÷ 1 = 97.

Since 97 is a prime number, it is not divisible by any other whole numbers except itself and 1. Therefore, the factors of 97 are: 1 and 97.

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

Since 97 is a prime number, it has no other prime factors except itself. The prime factorization of 97 is: 97.

The factor tree is the graphical representation of breaking down any number into prime factors. In the case of 97, since it is a prime number, the factor tree is quite simple: 97 is directly a prime number and cannot be broken down further. So, the prime factorization of 97 is: 97.

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 97 are 1 and 97.

• Prime factors: The factors which are prime numbers. For example, 97 is its own prime factor.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 97 is (1, 97).

• Prime number: A number greater than 1 that has no divisors other than 1 and itself. 97 is an example of a prime number.

• Division method: A method to find factors by dividing the number by integers to check for zero remainders.