Q: What are the factor combinations of the number 312,745,015?

 A:
Positive:   1 x 3127450155 x 6254900311 x 2843136555 x 5686273113 x 2767655565 x 5535311243 x 2516056215 x 50321
Negative: -1 x -312745015-5 x -62549003-11 x -28431365-55 x -5686273-113 x -2767655-565 x -553531-1243 x -251605-6215 x -50321


How do I find the factor combinations of the number 312,745,015?

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 312,745,015, 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.

1 312,745,015
-1 -312,745,015

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 312,745,015.

Example:
1 x 312,745,015 = 312,745,015
and
-1 x -312,745,015 = 312,745,015
Notice both answers equal 312,745,015

With that explanation out of the way, let's continue. Next, we take the number 312,745,015 and divide it by 2:

312,745,015 ÷ 2 = 156,372,507.5

If the quotient is a whole number, then 2 and 156,372,507.5 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:

1 312,745,015
-1 -312,745,015

Now, we try dividing 312,745,015 by 3:

312,745,015 ÷ 3 = 104,248,338.3333

If the quotient is a whole number, then 3 and 104,248,338.3333 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:

1 312,745,015
-1 -312,745,015

Let's try dividing by 4:

312,745,015 ÷ 4 = 78,186,253.75

If the quotient is a whole number, then 4 and 78,186,253.75 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:

1 312,745,015
-1 312,745,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551135651,2436,21550,321251,605553,5312,767,6555,686,27328,431,36562,549,003312,745,015
-1-5-11-55-113-565-1,243-6,215-50,321-251,605-553,531-2,767,655-5,686,273-28,431,365-62,549,003-312,745,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 312,745,015:


Ask a Question