Factors of 1426

The numbers that divide 1426 evenly are known as factors of 1426.

A factor of 1426 is a number that divides the number without remainder.

The factors of 1426 are 1, 2, 23, 31, 46, 62, 713, and 1426.

Negative factors of 1426: -1, -2, -23, -31, -46, -62, -713, and -1426.

Prime factors of 1426: 2, 23, and 31.

Prime factorization of 1426: 2 × 23 × 31.

The sum of factors of 1426: 1 + 2 + 23 + 31 + 46 + 62 + 713 + 1426 = 2304

Factors can be found using different methods. Mentioned below are some commonly used methods:

• Finding factors using multiplication
• Finding factors using division method
• Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1426. Identifying the numbers which are multiplied to get the number 1426 is the multiplication method.

Step 1: Multiply 1426 by 1, 1426 × 1 = 1426.

Step 2: Check for other numbers that give 1426 after multiplying

2 × 713 = 1426

23 × 62 = 1426

31 × 46 = 1426

Therefore, the positive factor pairs of 1426 are: (1, 1426), (2, 713), (23, 62), (31, 46).

All these factor pairs result in 1426.

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 1426 by 1, 1426 ÷ 1 = 1426.

Step 2: Continue dividing 1426 by the numbers until the remainder becomes 0.

1426 ÷ 1 = 1426

1426 ÷ 2 = 713

1426 ÷ 23 = 62

1426 ÷ 31 = 46

Therefore, the factors of 1426 are: 1, 2, 23, 31, 46, 62, 713, and 1426.

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 1426 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1426 ÷ 2 = 713

713 ÷ 23 = 31

31 ÷ 31 = 1

The prime factors of 1426 are 2, 23, and 31.

The prime factorization of 1426 is: 2 × 23 × 31.

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

Step 1: Firstly, 1426 is divided by 2 to get 713.

Step 2: Now divide 713 by 23 to get 31.

Step 3: Here, 31 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 1426 is: 2 × 23 × 31.

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 1426: (1, 1426), (2, 713), (23, 62), and (31, 46).

Negative factor pairs of 1426: (-1, -1426), (-2, -713), (-23, -62), and (-31, -46).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1426 are 1, 2, 23, 31, 46, 62, 713, and 1426.

• Prime factors: The factors which are prime numbers. For example, 2, 23, and 31 are prime factors of 1426.

• 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 1426 are (1, 1426), (2, 713), etc.

• Prime Factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1426 is 2 × 23 × 31.

• Multiplication Method: The process of finding factors by identifying pairs of numbers multiplied to give the original number. For example, using this method to find pairs like (31, 46) for 1426.