Factors of 634

The numbers that divide 634 evenly are known as factors of 634. A factor of 634 is a number that divides the number without remainder. The factors of 634 are 1, 2, 317, and 634.

Negative factors of 634: -1, -2, -317, and -634.

Prime factors of 634: 2 and 317.

Prime factorization of 634: 2 × 317.

The sum of factors of 634: 1 + 2 + 317 + 634 = 954

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 634. Identifying the numbers which are multiplied to get the number 634 is the multiplication method.

Step 1: Multiply 634 by 1, 634 × 1 = 634.

Step 2: Check for other numbers that give 634 after multiplying 2 × 317 = 634

Therefore, the positive factor pairs of 634 are: (1, 634), (2, 317). All these factor pairs result in 634. 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 simple division method 

Step 1: Divide 634 by 1, 634 ÷ 1 = 634.

Step 2: Continue dividing 634 by the numbers until the remainder becomes 0.

634 ÷ 1 = 634

634 ÷ 2 = 317

Therefore, the factors of 634 are: 1, 2, 317, 634.

The factors can be found by dividing it with a 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 634 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

634 ÷ 2 = 317

317 ÷ 317 = 1

The prime factors of 634 are 2 and 317. The prime factorization of 634 is: 2 × 317.

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

Step 1: Firstly, 634 is divided by 2 to get 317.

Step 2: 317 is a prime number and cannot be divided further. So, the prime factorization of 634 is: 2 × 317.

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 634: (1, 634), (2, 317).
• Negative factor pairs of 634: (-1, -634), (-2, -317).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 634 are 1, 2, 317, and 634.

• Prime factors: The factors which are prime numbers. For example, 2 and 317 are prime factors of 634.

• 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 634 are (1, 634) and (2, 317).

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 634 is 2 × 317.

• Multiplication method: A method of finding factors by identifying numbers that multiply to give the original number. For example, identifying pairs like 2 × 317 to find factors of 634.