Q: What are the factor combinations of the number 313,035,821?

 A:
Positive:   1 x 3130358217 x 44719403137 x 2284933191 x 1638931959 x 3264191337 x 2341331709 x 18316911963 x 26167
Negative: -1 x -313035821-7 x -44719403-137 x -2284933-191 x -1638931-959 x -326419-1337 x -234133-1709 x -183169-11963 x -26167


How do I find the factor combinations of the number 313,035,821?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 313,035,821, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 313,035,821
-1 -313,035,821

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,035,821.

Example:
1 x 313,035,821 = 313,035,821
and
-1 x -313,035,821 = 313,035,821
Notice both answers equal 313,035,821

With that explanation out of the way, let's continue. Next, we take the number 313,035,821 and divide it by 2:

313,035,821 ÷ 2 = 156,517,910.5

If the quotient is a whole number, then 2 and 156,517,910.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 313,035,821
-1 -313,035,821

Now, we try dividing 313,035,821 by 3:

313,035,821 ÷ 3 = 104,345,273.6667

If the quotient is a whole number, then 3 and 104,345,273.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 313,035,821
-1 -313,035,821

Let's try dividing by 4:

313,035,821 ÷ 4 = 78,258,955.25

If the quotient is a whole number, then 4 and 78,258,955.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 313,035,821
-1 313,035,821
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

171371919591,3371,70911,96326,167183,169234,133326,4191,638,9312,284,93344,719,403313,035,821
-1-7-137-191-959-1,337-1,709-11,963-26,167-183,169-234,133-326,419-1,638,931-2,284,933-44,719,403-313,035,821

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