Factors of 909

The numbers that divide 909 evenly are known as factors of 909. A factor of 909 is a number that divides the number without remainder. The factors of 909 are 1, 3, 9, 101, 303, and 909.

Negative factors of 909: -1, -3, -9, -101, -303, and -909.

Prime factors of 909: 3 and 101.

Prime factorization of 909: 3² × 101.

The sum of factors of 909: 1 + 3 + 9 + 101 + 303 + 909 = 1326

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 909. Identifying the numbers which are multiplied to get the number 909 is the multiplication method.

Step 1: Multiply 909 by 1, 909 × 1 = 909.

Step 2: Check for other numbers that give 909 after multiplying

3 × 303 = 909

9 × 101 = 909

Therefore, the positive factor pairs of 909 are: (1, 909), (3, 303), and (9, 101). All these factor pairs result in 909. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 909 by 1, 909 ÷ 1 = 909.

Step 2: Continue dividing 909 by the numbers until the remainder becomes 0.

909 ÷ 1 = 909

909 ÷ 3 = 303

909 ÷ 9 = 101

Therefore, the factors of 909 are: 1, 3, 9, 101, 303, 909.

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

909 ÷ 3 = 303

303 ÷ 3 = 101

101 ÷ 101 = 1

The prime factors of 909 are 3 and 101. The prime factorization of 909 is: 3² × 101.

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

Step 1: Firstly, 909 is divided by 3 to get 303.

Step 2: Now divide 303 by 3 to get 101.

Step 3: Here, 101 is a prime number that cannot be divided anymore. So, the prime factorization of 909 is: 3² × 101.

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 909: (1, 909), (3, 303), (9, 101).

• Negative factor pairs of 909: (-1, -909), (-3, -303), (-9, -101).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 909 are 1, 3, 9, 101, 303, and 909.

• Prime factors: The factors which are prime numbers. For example, 3 and 101 are prime factors of 909.

• 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 909 are (1, 909), (3, 303), etc.

• Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 909 is 3² × 101.

• Multiple: A number that can be divided by another number without a remainder. For example, 909 is a multiple of 9.