Factors of 123456789

The numbers that divide 123456789 evenly are known as factors of 123456789. A factor of 123456789 is a number that divides the number without remainder. The factors of 123456789 are 1, 3, 9, 3607, 10821, 32463, 13717421, and 123456789.

Negative factors of 123456789: -1, -3, -9, -3607, -10821, -32463, -13717421, and -123456789.

Prime factors of 123456789: 3, 3607, and 13717421.

Prime factorization of 123456789: 3² × 3607 × 13717421.

The sum of factors of 123456789: 1 + 3 + 9 + 3607 + 10821 + 32463 + 13717421 + 123456789 = 137174214.

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 123456789. Identifying the numbers that are multiplied to get 123456789 is the multiplication method.

Step 1: Multiply 123456789 by 1, 123456789 × 1 = 123456789.

Step 2: Check for other numbers that give 123456789 after multiplying     

3 × 41152263 = 123456789    

 9 × 13717421 = 123456789

Therefore, the positive factor pairs of 123456789 are: (1, 123456789), (3, 41152263), (9, 13717421). All these factor pairs result in 123456789. 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 as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 123456789 by 1, 123456789 ÷ 1 = 123456789.

Step 2: Continue dividing 123456789 by the numbers until the remainder becomes 0.

123456789 ÷ 1 = 123456789

123456789 ÷ 3 = 41152263

123456789 ÷ 9 = 13717421

Therefore, the factors of 123456789 are: 1, 3, 9, 3607, 10821, 32463, 13717421, and 123456789.

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 123456789 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

123456789 ÷ 3 = 41152263

41152263 ÷ 3 = 13717421

13717421 ÷ 13717421 = 1

The prime factors of 123456789 are 3, 3607, and 13717421. The prime factorization of 123456789 is: 3² × 3607 × 13717421.

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

Step 1: Firstly, 123456789 is divided by 3 to get 41152263.

Step 2: Now divide 41152263 by 3 to get 13717421.

Step 3: 13717421 is a prime number, so it cannot be divided further. So, the prime factorization of 123456789 is: 3² × 3607 × 13717421.

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 123456789: (1, 123456789), (3, 41152263), and (9, 13717421).

• Negative factor pairs of 123456789: (-1, -123456789), (-3, -41152263), and (-9, -13717421).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 123456789 are 1, 3, 9, 3607, 10821, 32463, 13717421, and 123456789.

• Prime factors: The factors which are prime numbers. For example, 3, 3607, and 13717421 are prime factors of 123456789.

• Prime factorization: The expression of a number as a product of its prime factors. For example, 3² × 3607 × 13717421 for 123456789.

• 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 123456789 are (1, 123456789), (3, 41152263), etc.

• Multiples: The result of multiplying a number by an integer. For example, 123456789 is a multiple of 9.