Factors of 635

The numbers that divide 635 evenly are known as factors of 635. A factor of 635 is a number that divides the number without a remainder. The factors of 635 are 1, 5, 127, and 635.

Negative factors of 635: -1, -5, -127, and -635.

Prime factors of 635: 5 and 127.

Prime factorization of 635: 5 × 127.

The sum of factors of 635: 1 + 5 + 127 + 635 = 768

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

1. Finding factors using multiplication
2. Finding factors using the 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 635. Identifying the numbers that are multiplied to get the number 635 is the multiplication method.

Step 1: Multiply 635 by 1, 635 × 1 = 635.

Step 2: Check for other numbers that give 635 after multiplying 5 × 127 = 635

Therefore, the positive factor pairs of 635 are: (1, 635) and (5, 127).

All these factor pairs result in 635. 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 635 by 1, 635 ÷ 1 = 635.

Step 2: Continue dividing 635 by the numbers until the remainder becomes 0.

635 ÷ 1 = 635

635 ÷ 5 = 127

635 ÷ 127 = 5

Therefore, the factors of 635 are: 1, 5, 127, 635.

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

635 ÷ 5 = 127

127 ÷ 127 = 1

The prime factors of 635 are 5 and 127.

The prime factorization of 635 is: 5 × 127.

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

Step 1: Firstly, 635 is divided by 5 to get 127.

Step 2: Now divide 127 by 127 to get 1. Here, 127 is a prime number, that cannot be divided anymore. So, the prime factorization of 635 is: 5 × 127.

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 635: (1, 635) and (5, 127).
• Negative factor pairs of 635: (-1, -635) and (-5, -127).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 635 are 1, 5, 127, and 635.

• Prime factors: The factors which are prime numbers. For example, 5 and 127 are prime factors of 635.

• 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 635 are (1, 635) and (5, 127).

• Prime factorization: The process of expressing a number as the product of its prime factors. For 635, it is 5 × 127.

• Multiple: A number that can be divided by another number without a remainder. For example, 635 is a multiple of 5.