Factors of 651

The numbers that divide 651 evenly are known as factors of 651. A factor of 651 is a number that divides the number without remainder. The factors of 651 are 1, 3, 217, and 651.

Negative factors of 651: -1, -3, -217, and -651.

Prime factors of 651: 3 and 217.

Prime factorization of 651: 3 × 217.

The sum of factors of 651: 1 + 3 + 217 + 651 = 872

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 651. Identifying the numbers which are multiplied to get the number 651 is the multiplication method.

Step 1: Multiply 651 by 1, 651 × 1 = 651.

Step 2: Check for other numbers that give 651 after multiplying 3 × 217 = 651

Therefore, the positive factor pairs of 651 are: (1, 651) and (3, 217). All these factor pairs result in 651. 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 a simple division method -

Step 1: Divide 651 by 1, 651 ÷ 1 = 651.

Step 2: Continue dividing 651 by the numbers until the remainder becomes 0.

651 ÷ 1 = 651

651 ÷ 3 = 217

Therefore, the factors of 651 are: 1, 3, 217, 651.

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

651 ÷ 3 = 217

217 is a prime number, so it cannot be further divided by any number other than 1 and 217.

The prime factors of 651 are 3 and 217. The prime factorization of 651 is: 3 × 217.

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

Step 1: Firstly, 651 is divided by 3 to get 217. 217 is a prime number and cannot be divided further. So, the prime factorization of 651 is: 3 × 217.

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 651: (1, 651) and (3, 217).
• Negative factor pairs of 651: (-1, -651) and (-3, -217).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 651 are 1, 3, 217, and 651.

• Prime factors: The factors which are prime numbers. For example, 3 and 217 are prime factors of 651.

• 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 651 are (1, 651) and (3, 217).

• Prime Factorization: The process of finding which prime numbers multiply together to make the original number. For 651, it is 3 × 217.

• Multiple: A number that can be divided by another number without a remainder. For example, 651 is a multiple of 3.