What are all the factors, the prime factorization, and factor pairs of 852?

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.

To calculate the factors of 852 , you can use the division method.

   1. Begin by dividing 852 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 852.

   3. Continue dividing 852 by larger numbers until you find an odd number that does not divide evenly into 852 .

   4. The numbers that divide evenly into 852 are the factors of 852 .

Now let us find how to calculate all the factors of Eight hundred fifty-two :

    852 ÷ 1 = 852
    852 ÷ 2 = 426
    852 ÷ 3 = 284
    852 ÷ 4 = 213
    852 ÷ 6 = 142
    852 ÷ 12 = 71
    852 ÷ 71 = 12
    852 ÷ 142 = 6
    852 ÷ 213 = 4
    852 ÷ 284 = 3
    852 ÷ 426 = 2
    852 ÷ 852 = 1

As you can see, the factors of 852 are 1 , 2 , 3 , 4 , 6 , 12 , 71 , 142 , 213 , 284 , 426 and 852 .

The factors of 852 are the numbers that can evenly divide 852 . These numbers are 1 , 2 , 3 , 4 , 6 , 12 , 71 , 142 , 213 , 284 , 426 and 852.

Thus, there are a total of 12 factors of 852

Factor Pairs of 852 are combinations of two factors that when multiplied together equal 852. There are many ways to calculate the factor pairs of 852 .

One easy way is to list out the factors of 852 :
   1 , 2 , 3 , 4 , 6 , 12 , 71 , 142 , 213 , 284 , 426 , 852

Then, pair up the factors:
   (1,852),(2,426),(3,284),(4,213),(6,142) and (12,71) These are the factor pairs of 852 .

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 852 using a factor tree, we would start by writing 852 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 852 would be 2 x 2 x 3 x 71.

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 852 using this method, we keep dividing until it gives a non-zero remainder.

    852 ÷ 2 = 426
    426 ÷ 2 = 213
    213 ÷ 3 = 71
    71 ÷ 71 = 1

So the prime factors of 852 are 2 x 2 x 3 x 71.

852 in French

852 in English