Factors of 897

The numbers that divide 897 evenly are known as factors of 897. A factor of 897 is a number that divides the number without remainder. The factors of 897 are 1, 3, 13, 23, 39, 69, 299, and 897.

Negative factors of 897: -1, -3, -13, -23, -39, -69, -299, and -897.

Prime factors of 897: 3, 13, and 23.

Prime factorization of 897: 3 × 13 × 23.

The sum of factors of 897: 1 + 3 + 13 + 23 + 39 + 69 + 299 + 897 = 1344

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 897. Identifying the numbers which are multiplied to get the number 897 is the multiplication method.

Step 1: Multiply 897 by 1, 897 × 1 = 897.

Step 2: Check for other numbers that give 897 after multiplying

3 × 299 = 897

13 × 69 = 897

23 × 39 = 897

Therefore, the positive factor pairs of 897 are: (1, 897), (3, 299), (13, 69), (23, 39). 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 a simple division method -

Step 1: Divide 897 by 1, 897 ÷ 1 = 897.

Step 2: Continue dividing 897 by the numbers until the remainder becomes 0.

897 ÷ 1 = 897

897 ÷ 3 = 299

897 ÷ 13 = 69

897 ÷ 23 = 39

Therefore, the factors of 897 are: 1, 3, 13, 23, 39, 69, 299, 897.

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 a factor tree

Using Prime Factorization: In this process, prime factors of 897 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

897 ÷ 3 = 299

299 ÷ 13 = 23

23 ÷ 23 = 1

The prime factors of 897 are 3, 13, and 23. The prime factorization of 897 is: 3 × 13 × 23.

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

Step 1: Firstly, 897 is divided by 3 to get 299.

Step 2: Now divide 299 by 13 to get 23.

Step 3: Here, 23 is the smallest prime number, which cannot be divided anymore. So, the prime factorization of 897 is: 3 × 13 × 23.

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 897: (1, 897), (3, 299), (13, 69), (23, 39).
• Negative factor pairs of 897: (-1, -897), (-3, -299), (-13, -69), (-23, -39).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 897 are 1, 3, 13, 23, 39, 69, 299, and 897.

• Prime factors: The factors which are prime numbers. For example, 3, 13, and 23 are prime factors of 897.

• 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 897 are (1, 897), (3, 299), etc.

• Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 897 is 3 × 13 × 23.

• Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -3, -13, -23, etc., are negative factors of 897.