all-factors-of-6
Factors of 6

What are the factors of 6?

Factors of 6: 1, 2, 3, 6
Negative factors: -1, -2, -3, -6
Pairs of factors: 1×6, 2×3
Prime factors: 2, 3
Number of positive factors: 4
Number of Negative factors: 4
A total number of factors = 8

Definition of factors in math

Multiplying two whole numbers to get the original/product number and a whole number that divides exactly into another number that is called factoring.


Factors of 6 in pairs

Factors of 6 are: - 1×6 = 6, 2×3 = 6, as you can see we have multiplied two whole numbers with a combination of factors which gives the original/product number (6) in the result.

factors-of-6

We can find the Factors of 6 by multiplying two whole numbers in a pair to get the result 6.

Multiply by 1       1×6 = 6
Multiply by 2       2×3 = 6

There are no more possible pairs so we have all the factors in question.
Factors pairs of 6 = (1×6) (2×3)
Add all these to our factors list
Factors list: -
factors-list-of-6



Factorization Using Division:-

First, we divide the given number by the smallest prime number which divides the number exactly.
Example: -
Factorization of 6
Tree-factors-of-6

We can easily divide 6 by the smallest prime number 2.
 6/2 = 3

Divide the quotient again by the smallest or the next smallest prime number. We will repeat this process repeatedly until the quotient becomes 1.

6 ÷ 2 = 3
3 ÷ 3 = 1

Prime factors are:
2, 3
Multiply all prime factors
2 × 3 = 6

Multiples of 6: - 

6   ×   1   =   6
6   ×   2   =   12
6   ×   3   =   18
6   ×   4   =   24
6   ×   5   =   30
6   ×   6   =   36
6   ×   7   =   42
6   ×   8   =   48
6   ×   9   =   54
6   ×   10   =   60


 How many factors of 6? 
6 has 4 Factors (8 with negative Factors)

How many odd and even factors of 6?
6 has (2) odd factors and (2) even factors.

How to find the total number of odd factors?

Step 1: - At, first find the prime factorization of given number.
6 = 2 * 3

Step 2: - Express them into exponential form.
(2 to the power of 1) × (3 to the power of 1)
(2^1) × (3^1)

Step 3: - To find the number of odd factors, you always have to write the exponent (1) of the base of (2). And then add (1) in all other exponents.
(2 to the power of 1) × (3 to the power of 2)
(2^1) × (3^2)

 Step 4: - Leave the base and multiply all exponents: -
1 × 2 = 2

Answer. The total number of odd factors is 2.

How to find the sum of odd factors?

The first two steps are the same, factorization of the given number and expressing them in to exponential form.
6 = 2 * 3
(2 to the power of 1) × (3 to the power of 1)
(2^1) × (3^1)

If you want to find the sum of odd factors, you always have to write (0) in the exponent of 2. And besides them start all bases of the exponent from (0) and move up to maximum power of base.
(2 to the power of 0) × (3 to the power of 0 + 3 to the power of 1)
(2^0) × (3^0 + 3^1)
1 × 1 + 3 = 4

Answer. The sum of odd factors is 4.

Odd factors of 6
1, 3
Sum of odd factors
1 + 3 = 4


How to find the number of even factors?

Step 1: - At, first find the prime factorization of given number.
 6 = 2 * 3 

Step 2: - Express them into exponential form.
(2 to the power of 1) × (3 to the power of 1)
2^1 × 3^1

 Step 3: - Write the exponent of 2 as it is and then add (1) to the all exponents.
2^1 × 3^2
Step 4: - Leave the base and multiply all exponents: -
1 × 2 = 2

Answer. The number of even factors is = 2


How to find the sum of even factors?

The first two steps are the same, factorization of the given number and expressing them in to exponential form.
 6 = 2 * 3
(2 to the power of 1) × (3 to the power of 1)
2^1 × 3^1

Increase the exponent of 2 starting from (1) and move up to maximum power of base. And then increase exponents of other bases from (0) and move up to the maximum power of base.
(2 to the power of 1) × (3 to the power of 0) + (3 to the power of 1)
(2^1) × (3^0) + (3^1)
2 × 1 + 3 = 8

Answer. The sum of even factors is 8.

Even factors of 6
2, 6,
Sum of even factors
2 + 6 = 8


How to find the total number of factors?

Step 1: - At, first find the prime factorization of given number.
 6 = 2 * 3 

Step 2: - Express them into exponential form.
(2 to the power of 1) × (3 to the power of 1)
(2^1) × (3^1)

Step 3: - Leave the base (2, 3) and raise all exponents by +1.
2^2 × 3^2
2 × 2 = 4

Answer. Total number of factors are 4.

How to find the sum of total factors?

The first two steps are the same, factorization of the given number and expressing them in to exponential form.
6 = 2 * 3
(2 to the power of 1) × (3 to the power of 1)
(2^1) × (3^1)

Start all bases of the exponent from (0) and move up to the maximum power of base.
(2 to the power of 0) + (2 to the power of 1) × (3 to the power of 0) + (3 to the power of 1)
(2^0) + (2^1) × (3^0) + (3^1)
(1+2) × (1+3)
3 × 4 = 12 

Answer. The sum of total factors is 12.

All factors of 6
1, 2, 3, 6,
Sum of all factors
1 + 2 + 3 + 6 = 12

Some more questions: -

 Is 6 a composite number?
Yes! 6 is a composite number.

Is 6 a prime number?
No! 6 is not a prime number.

Is 6 a perfect square?
No! 6 is not a square number.

 Is 6 an even number?
Yes! 6 is an even number.

Is 6 an odd number?
No! 6 is not an odd number.

Is 6 a rational number?
Yes! 6 is a rational number.

Is 6 a irrational number?
No! 6 is not an irrational number.

Last words: - I hope this step-by-step tutorial was useful to teach you about the Factors of 6. Do you want to learn something else? So always come back to our site.
Thank you.