Factors of 652

The numbers that divide 652 evenly are known as factors of 652. A factor of 652 is a number that divides the number without remainder. The factors of 652 are 1, 2, 4, 163, 326, and 652.

Negative factors of 652: -1, -2, -4, -163, -326, and -652.

Prime factors of 652: 2 and 163.

Prime factorization of 652: 2² × 163.

The sum of factors of 652: 1 + 2 + 4 + 163 + 326 + 652 = 1148

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 652. Identifying the numbers which are multiplied to get the number 652 is the multiplication method.

Step 1: Multiply 652 by 1, 652 × 1 = 652.

Step 2: Check for other numbers that give 652 after multiplying  

2 × 326 = 652  

4 × 163 = 652

Therefore, the positive factor pairs of 652 are: (1, 652), (2, 326), (4, 163). All these factor pairs result in 652. 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 652 by 1, 652 ÷ 1 = 652.

Step 2: Continue dividing 652 by the numbers until the remainder becomes 0.

652 ÷ 1 = 652

652 ÷ 2 = 326

652 ÷ 4 = 163

Therefore, the factors of 652 are: 1, 2, 4, 163, 326, 652.

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

652 ÷ 2 = 326

326 ÷ 2 = 163

163 ÷ 163 = 1

The prime factors of 652 are 2 and 163. The prime factorization of 652 is: 2² × 163.

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

Step 1: Firstly, 652 is divided by 2 to get 326.

Step 2: Now divide 326 by 2 to get 163.

Step 3: Divide 163 by 163 to get 1. Here, 163 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 652 is: 2² × 163.

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 652: (1, 652), (2, 326), (4, 163).
• Negative factor pairs of 652: (-1, -652), (-2, -326), (-4, -163).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 652 are 1, 2, 4, 163, 326, and 652.

• Prime factors: The factors which are prime numbers. For example, 2 and 163 are prime factors of 652.

• 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 652 are (1, 652), (2, 326), etc.

• Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 652 is 2² × 163.

• Multiplication method: A method to find factors by identifying numbers that multiply to give the target number. For example, identifying 4 × 163 = 652.