Factors Of 6: Prime Factor Method & Examples

The factors of 6 are 1, 2, 3, and 6. When we divide 6 by any of these numbers, we get 0 as the remainder. Thus, 6 is completely divisible by these numbers, and thus 1, 2, 3, and 6 are called the factors of 6. For example: when two integers are multiplied to get 6 as a result, they are called the pair factors of 6. 

• The basic concept behind pair factors is that when we multiply the numbers, it should give the original number. 
• The pair factors of 6 are, for example, (1,6), (6,1), (-1,6), (-2,3), and so on.
• Factors of 6 can be either positive or negative, but they should not be a decimal or a fractional number. 
• Like factors of 6 and pair factors of 6, pair factors can also be calculated for other numbers easily. 

Key Terms: Factor, Factors of 6, Factors of 6 by division method,  Factors of 6 by prime factorisation method, prime factor of 6

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What Are The Factors Of 6?

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Factors of 6 are the list of integers that can be evenly divided into 6. There are overall 4 factors of 6 i.e. 1, 2, 3 and 6 where 6 is the biggest factor. The sum of all factors of 6 is 12. 

• Its Prime Factors are 1, 2, 3, 6 and (1, 6) and (2, 3) are Pair Factors. 
• Factors of 6 are the numbers that divide it completely to give 0 as a remainder.

From the above, we can say that any number that divides 6 and gives a remainder of 0 is a factor of 6.

For example: by calculation-

3) 6 (2

  - 6

———

    0

Here we can see that when 6 is divided by 2, the remainder is 0 and the quotient is 6. Therefore, 3 is one of the factors in 6.

The possible factors of 6 were 1, 2, 3, and 6. where 1 is the lowest factor of 6, and 6 is the biggest factor of 6.

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Pair factors of 6

To find the pair factors of 6, multiply two numbers so that the result is 6.

For example, 1x6 or 3x2. Here, we can see that (3,2) and (1,6) are the positive pair factors of 6.

Similarly, for negative pair factors of 6, it will be (-2, -3) and (-1, -6).

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Factors Of 6 By The Division Method

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To calculate the factors of any number by the division method, divide the number by different integers. If the integer divides the number and leaves the remainder as 0, then it is the factor of 6.

Let us now look at an example of how to calculate this.

• 6/1 = 6 (here the factor is 1 and the remainder is 0).
• 6/2 = 3 (In this case, the factor is 2 and the remainder is 0).
• 6/3 = 2 (In this case, the factor is 3 and the remainder is 0).
• 6/6 = 1 (the factor is 6 and the remainder is 0).
• 6/5, But, in the case of any other number, if we divide 6 by that number, it will leave some remainder. As in the case of 5, i.e., 6/5, the remainder is 1. Therefore, it is not a factor of 6.

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Prime Factor Of 6

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Prime factors of any number are the products of two or more prime factors. As we already know from this article, 6 is a composite number, which means it will have some prime factors.

To calculate the prime factorization of 6

6/2 = 3.

Here, we will divide 6 by the smallest prime number, which is 2. But for calculating the prime factor of 6, we will keep on dividing the answer until we get 1 as the remainder.

Now, 3/3 = 1. The remainder is 0. As a result, we can conclude that the prime factors of 6 are 2 and 3, where 2 and 3 are prime numbers.

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Things To Remember

• The biggest factor in any number is the number itself.
• The smallest factor of any number is always 1.
• A factor of any number can be a positive or negative integer.
• Finding a factor of any number should never leave any remainder.
• Factors of any number are always more than one.
• Factors can never be in decimals or fractions.
• O can never be a factor in any number.
• Factors are useful when solving equations with large numbers.