Factors of 629

The numbers that divide 629 evenly are known as factors of 629. A factor of 629 is a number that divides the number without remainder. The factors of 629 are 1, 17, 37, and 629.

Negative factors of 629: -1, -17, -37, and -629.

Prime factors of 629: 17 and 37.

Prime factorization of 629: 17 × 37.

The sum of factors of 629: 1 + 17 + 37 + 629 = 684

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 629. Identifying the numbers which are multiplied to get the number 629 is the multiplication method.

Step 1: Multiply 629 by 1, 629 × 1 = 629.

Step 2: Check for other numbers that give 629 after multiplying 17 × 37 = 629

Therefore, the positive factor pairs of 629 are: (1, 629) and (17, 37). 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 in whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 629 by 1, 629 ÷ 1 = 629.

Step 2: Continue dividing 629 by the numbers until the remainder becomes 0.

629 ÷ 1 = 629

629 ÷ 17 = 37

629 ÷ 37 = 17

Therefore, the factors of 629 are: 1, 17, 37, 629.

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

629 ÷ 17 = 37

37 ÷ 37 = 1

The prime factors of 629 are 17 and 37. The prime factorization of 629 is: 17 × 37.

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

Step 1: Firstly, 629 is divided by 17 to get 37.

Step 2: 37 is already a prime number and cannot be divided further. So, the prime factorization of 629 is: 17 × 37.

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 629: (1, 629) and (17, 37).
• Negative factor pairs of 629: (-1, -629) and (-17, -37).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 629 are 1, 17, 37, and 629.

• Prime factors: The factors that are prime numbers. For example, 17 and 37 are prime factors of 629.

• 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 629 are (1, 629) and (17, 37).

• Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 629 is 17 × 37.

• Negative factors: Factors that are negative numbers. For example, -1, -17, -37, and -629 are negative factors of 629.