Q: What are the factor combinations of the number 313,552,015?

 A:
Positive:   1 x 3135520155 x 627104037 x 4479314535 x 895862997 x 3232495485 x 646499679 x 4617853395 x 92357
Negative: -1 x -313552015-5 x -62710403-7 x -44793145-35 x -8958629-97 x -3232495-485 x -646499-679 x -461785-3395 x -92357


How do I find the factor combinations of the number 313,552,015?

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 313,552,015, 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.

1 313,552,015
-1 -313,552,015

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 313,552,015.

Example:
1 x 313,552,015 = 313,552,015
and
-1 x -313,552,015 = 313,552,015
Notice both answers equal 313,552,015

With that explanation out of the way, let's continue. Next, we take the number 313,552,015 and divide it by 2:

313,552,015 ÷ 2 = 156,776,007.5

If the quotient is a whole number, then 2 and 156,776,007.5 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:

1 313,552,015
-1 -313,552,015

Now, we try dividing 313,552,015 by 3:

313,552,015 ÷ 3 = 104,517,338.3333

If the quotient is a whole number, then 3 and 104,517,338.3333 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:

1 313,552,015
-1 -313,552,015

Let's try dividing by 4:

313,552,015 ÷ 4 = 78,388,003.75

If the quotient is a whole number, then 4 and 78,388,003.75 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:

1 313,552,015
-1 313,552,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735974856793,39592,357461,785646,4993,232,4958,958,62944,793,14562,710,403313,552,015
-1-5-7-35-97-485-679-3,395-92,357-461,785-646,499-3,232,495-8,958,629-44,793,145-62,710,403-313,552,015

More Examples

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