Q: What are the factor combinations of the number 311,427,055?

 A:
Positive:   1 x 3114270555 x 6228541167 x 4648165335 x 929633557 x 5591151669 x 1865952785 x 1118238345 x 37319
Negative: -1 x -311427055-5 x -62285411-67 x -4648165-335 x -929633-557 x -559115-1669 x -186595-2785 x -111823-8345 x -37319


How do I find the factor combinations of the number 311,427,055?

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 311,427,055, 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.

1 311,427,055
-1 -311,427,055

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 311,427,055.

Example:
1 x 311,427,055 = 311,427,055
and
-1 x -311,427,055 = 311,427,055
Notice both answers equal 311,427,055

With that explanation out of the way, let's continue. Next, we take the number 311,427,055 and divide it by 2:

311,427,055 ÷ 2 = 155,713,527.5

If the quotient is a whole number, then 2 and 155,713,527.5 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:

1 311,427,055
-1 -311,427,055

Now, we try dividing 311,427,055 by 3:

311,427,055 ÷ 3 = 103,809,018.3333

If the quotient is a whole number, then 3 and 103,809,018.3333 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:

1 311,427,055
-1 -311,427,055

Let's try dividing by 4:

311,427,055 ÷ 4 = 77,856,763.75

If the quotient is a whole number, then 4 and 77,856,763.75 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:

1 311,427,055
-1 311,427,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15673355571,6692,7858,34537,319111,823186,595559,115929,6334,648,16562,285,411311,427,055
-1-5-67-335-557-1,669-2,785-8,345-37,319-111,823-186,595-559,115-929,633-4,648,165-62,285,411-311,427,055

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