Factors of 662

The numbers that divide 662 evenly are known as factors of 662. A factor of 662 is a number that divides the number without remainder. The factors of 662 are 1, 2, 331, and 662.

Negative factors of 662: -1, -2, -331, and -662.

Prime factors of 662: 2 and 331.

Prime factorization of 662: 2 × 331.

The sum of factors of 662: 1 + 2 + 331 + 662 = 996

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 662. Identifying the numbers which are multiplied to get the number 662 is the multiplication method.

Step 1: Multiply 662 by 1, 662 × 1 = 662.

Step 2: Check for other numbers that give 662 after multiplying 2 × 331 = 662

Therefore, the positive factor pairs of 662 are: (1, 662) and (2, 331). All these factor pairs result in 662. 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 the simple division method -

Step 1: Divide 662 by 1, 662 ÷ 1 = 662.

Step 2: Continue dividing 662 by the numbers until the remainder becomes 0.

662 ÷ 1 = 662

662 ÷ 2 = 331

Therefore, the factors of 662 are: 1, 2, 331, and 662.

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

662 ÷ 2 = 331

331 ÷ 331 = 1

The prime factors of 662 are 2 and 331.

The prime factorization of 662 is: 2 × 331.

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

Step 1: Firstly, 662 is divided by 2 to get 331.

Step 2: 331 is a prime number, so it cannot be divided further. So, the prime factorization of 662 is: 2 × 331.

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 662: (1, 662) and (2, 331).
• Negative factor pairs of 662: (-1, -662) and (-2, -331).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 662 are 1, 2, 331, and 662.

• Prime factors: The factors which are prime numbers. For example, 2 and 331 are prime factors of 662.

• 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 662 are (1, 662) and (2, 331).

• Prime factorization: The expression of a number as the product of its prime factors. For 662, it is 2 × 331.

• Multiple: A number that can be divided by another number without a remainder. For example, 662 is a multiple of 2.