Factors of 632

The numbers that divide 632 evenly are known as factors of 632. A factor of 632 is a number that divides the number without remainder. The factors of 632 are 1, 2, 4, 8, 79, 158, 316, and 632.

Negative factors of 632: -1, -2, -4, -8, -79, -158, -316, and -632.

Prime factors of 632: 2 and 79.

Prime factorization of 632: 2³ × 79.

The sum of factors of 632: 1 + 2 + 4 + 8 + 79 + 158 + 316 + 632 = 1200

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 632. Identifying the numbers which are multiplied to get the number 632 is the multiplication method.

Step 1: Multiply 632 by 1, 632 × 1 = 632.

Step 2: Check for other numbers that give 632 after multiplying        

2 × 316 = 632        

4 × 158 = 632       

8 × 79 = 632

Therefore, the positive factor pairs of 632 are: (1, 632), (2, 316), (4, 158), (8, 79). All these factor pairs result in 632. 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 a whole number as factors. Factors can be calculated by following a simple division method:

Step 1: Divide 632 by 1, 632 ÷ 1 = 632.

Step 2: Continue dividing 632 by the numbers until the remainder becomes 0.

632 ÷ 1 = 632

632 ÷ 2 = 316

632 ÷ 4 = 158

632 ÷ 8 = 79

Therefore, the factors of 632 are: 1, 2, 4, 8, 79, 158, 316, 632.

The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:

1. Using prime factorization
2. Using factor tree

Using Prime Factorization: In this process, prime factors of 632 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

632 ÷ 2 = 316

316 ÷ 2 = 158

158 ÷ 2 = 79

79 ÷ 79 = 1

The prime factors of 632 are 2 and 79. The prime factorization of 632 is: 2³ × 79.

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

Step 1: Firstly, 632 is divided by 2 to get 316.

Step 2: Now divide 316 by 2 to get 158.

Step 3: Then divide 158 by 2 to get 79. Here, 79 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 632 is: 2³ × 79.

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 632: (1, 632), (2, 316), (4, 158), and (8, 79).
• Negative factor pairs of 632: (-1, -632), (-2, -316), (-4, -158), and (-8, -79).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 632 are 1, 2, 4, 8, 79, 158, 316, and 632.

• Prime factors: The factors which are prime numbers. For example, 2 and 79 are prime factors of 632.

• 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 632 are (1, 632), (2, 316), etc.

• Prime factorization: The expression of a number as a product of its prime factors. For example, 632 can be expressed as 2³ × 79.

• Multiple: A multiple of a number is the product of that number and an integer. For example, 632 is a multiple of 8.