# Factors of 486

Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486

#### How to find factors of a number

 1.   Find factors of 486 using Division Method 2.   Find factors of 486 using Prime Factorization 3.   Find factors of 486 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 486

• Divide 486 by 1: 486 ÷ 1 : Remainder = 0
• Divide 486 by 2: 486 ÷ 2 : Remainder = 0
• Divide 486 by 3: 486 ÷ 3 : Remainder = 0
• Divide 486 by 6: 486 ÷ 6 : Remainder = 0
• Divide 486 by 9: 486 ÷ 9 : Remainder = 0
• Divide 486 by 18: 486 ÷ 18 : Remainder = 0
• Divide 486 by 27: 486 ÷ 27 : Remainder = 0
• Divide 486 by 54: 486 ÷ 54 : Remainder = 0
• Divide 486 by 81: 486 ÷ 81 : Remainder = 0
• Divide 486 by 162: 486 ÷ 162 : Remainder = 0
• Divide 486 by 243: 486 ÷ 243 : Remainder = 0
• Divide 486 by 486: 486 ÷ 486 : Remainder = 0

Hence, Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486

#### 2. Steps to find factors of 486 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 486 using the division method, follow these steps:

• Step 1. Start dividing 486 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 486, which is 2. Divide 486 by 2 to obtain the quotient (243).
486 ÷ 2 = 243
• Step 3. Repeat step 1 with the obtained quotient (243).
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

So, the prime factorization of 486 is, 486 = 2 x 3 x 3 x 3 x 3 x 3.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 486 as shown below:

So, the prime factorization of 486 is, 486 = 2 x 3 x 3 x 3 x 3 x 3.

#### 3. Find factors of 486 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 486 would be the two numbers which, when multiplied, give 486 as the result.

The following table represents the calculation of factors of 486 in pairs:

Factor Pair Pair Factorization
1 and 486 1 x 486 = 486
2 and 243 2 x 243 = 486
3 and 162 3 x 162 = 486
6 and 81 6 x 81 = 486
9 and 54 9 x 54 = 486
18 and 27 18 x 27 = 486

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 486. They are called negative pair factors.

Hence, the negative pairs of 486 would be ( -1 , -486 ) , ( -2 , -243 ) , ( -3 , -162 ) , ( -6 , -81 ) , ( -9 , -54 ) and ( -18 , -27 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 486 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486 are exact divisors of 486.
• 1 is a factor of every number. Eg. 1 is a factor of 486.
• Every number is a factor of zero (0), since 486 x 0 = 0.

• Which is the smallest prime factor of 486?

Smallest prime factor of 486 is 2.

• Is 486 a perfect square?

No 486 is not a perfect square.

• What are five multiples of 486?

First five multiples of 486 are 972, 1458, 1944, 2430, 2916.

• What is prime factorization of 486?

Prime factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3.

• What are factors of 486?

Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486.

• How do you find factors of a negative number? ( eg. -486 )?

Factors of -486 are -1, -2, -3, -6, -9, -18, -27, -54, -81, -162, -243, -486.

• Is 486 a whole number?

Yes 486 is a whole number.

• Which is greatest factor of 486?

The greatest factor of 486 is 243.

• What are the prime factors of 486?

The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486.
Prime factors of 486 are 2, 3, 3, 3, 3, 3.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 486. Can you help her?

Prime factors of 486 are 2, 3, 3, 3, 3, 3.
Hence, the product of prime factors of 6.

Can you help Rubel to find out the product of the even factors of 486?

Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486.
Even factors of 486 are 2, 6, 18, 54, 162, 486.
Hence, product of even factors of 486 is; 2 x 6 x 18 x 54 x 162 x 486 = 918330048.

Joy wants to calculate mean of all the factors of 486. Help him in finding the mean of 486.

Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 486 is 1 + 2 + 3 + 6 + 9 + 18 + 27 + 54 + 81 + 162 + 243 + 486 = 1092.
Hence, the mean of factors of 486 is 1092 ÷ 12 = 91.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 486? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486.
Negative factors are -1, -2, -3, -6, -9, -18, -27, -54, -81, -162, -243, -486.

How many factors are there for 486?

Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486.
So there are in total 12 factors.

Joey wants to write all the prime factors of 486 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 486 are 2, 3, 3, 3, 3, 3.
So in exponential form it can be written as 2 x 35.

Kevin has been asked to write 11 factor(s) of 486. Can you predict the answer?

11 factor(s) of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243.