What is a factor in math ?
Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.
The factors of a number can be positive or negative, but they cannot be zero.
The factors of a number can be used to find out if the number is prime or not.
A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.
List all of the factors of 484 ?
To calculate the factors of 484 , you can use the division method.
1. Begin by dividing 484 by the smallest possible number, which is 2.
2. If the division is even, then 2 is a factor of 484.
3. Continue dividing 484 by larger numbers until you find an odd number that does not divide evenly into 484 .
4. The numbers that divide evenly into 484 are the factors of 484 .
Now let us find how to calculate all the factors of Four hundred eighty-four :
484 ÷ 1 = 484
484 ÷ 2 = 242
484 ÷ 4 = 121
484 ÷ 11 = 44
484 ÷ 22 = 22
484 ÷ 44 = 11
484 ÷ 121 = 4
484 ÷ 242 = 2
484 ÷ 484 = 1
As you can see, the factors of 484 are 1 , 2 , 4 , 11 , 22 , 44 , 121 , 242 and 484 .
How to Write Numbers in French Similar to 484?
How many factors of 484 are there ?
The factors of 484 are the numbers that can evenly divide 484 . These numbers are 1 , 2 , 4 , 11 , 22 , 44 , 121 , 242 and 484.
Thus, there are a total of 9 factors of 484
What are the factor pairs of 484 ?
Factor Pairs of 484 are combinations of two factors that when multiplied together equal 484. There are many ways to calculate the factor pairs of 484 .
One easy way is to list out the factors of 484 :
1 , 2 , 4 , 11 , 22 , 44 , 121 , 242 , 484
Then, pair up the factors:
(1,484),(2,242),(4,121),(11,44) and (22,22)
These are the factor pairs of 484 .
Prime Factorisation of 484
There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.
1) Use a factor tree :
1. Take the number you want to find the prime factorization of and write it at the top of the page
2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of
3. Draw a line under the number you just wrote and the number you are finding the prime factorization of
4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly
5. The numbers written on the lines will be the prime factors of the number you started with
For example, to calculate the prime factorization of 484 using a factor tree, we would start by writing 484 on a piece of paper. Then, we would draw a line under it and begin finding factors.
The final prime factorization of 484 would be 2 x 2 x 11 x 11.
2) Use a factorization method :
There are a few different factorization methods that can be used to calculate the prime factorization of a number.
One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.
Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.
For example, to calculate the prime factorization of 484 using this method, we keep dividing until it gives a non-zero remainder.
484 ÷ 2 = 242
242 ÷ 2 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
So the prime factors of 484 are 2 x 2 x 11 x 11.
Frequently Asked Questions on Factors
What are all the factors of 484 ?
The factors of 484 are 1 , 2 , 4 , 11 , 22 , 44 , 121 , 242 and 484.
What is the prime factorization of 484 ?
The prime factorization of 484 is 2 x 2 x 11 x 11 or 22 x 112, where 2 , 11 are the prime numbers .
What are the prime factors of 484 ?
The prime factors of 484 are 2 , 11 .
Is 484 a prime number ?
A prime number is a number that has only two factors 1 and itself.
484 it is not a prime number
because it has the factors 1 , 2 , 4 , 11 , 22 , 44 , 121 , 242 and 484.