Q: What are the factor combinations of the number 316,750,775?

 A:
Positive:   1 x 3167507755 x 6335015511 x 2879552525 x 1267003155 x 5759105121 x 2617775275 x 1151821605 x 5235553025 x 104711
Negative: -1 x -316750775-5 x -63350155-11 x -28795525-25 x -12670031-55 x -5759105-121 x -2617775-275 x -1151821-605 x -523555-3025 x -104711


How do I find the factor combinations of the number 316,750,775?

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 316,750,775, 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.

1 316,750,775
-1 -316,750,775

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 316,750,775.

Example:
1 x 316,750,775 = 316,750,775
and
-1 x -316,750,775 = 316,750,775
Notice both answers equal 316,750,775

With that explanation out of the way, let's continue. Next, we take the number 316,750,775 and divide it by 2:

316,750,775 ÷ 2 = 158,375,387.5

If the quotient is a whole number, then 2 and 158,375,387.5 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:

1 316,750,775
-1 -316,750,775

Now, we try dividing 316,750,775 by 3:

316,750,775 ÷ 3 = 105,583,591.6667

If the quotient is a whole number, then 3 and 105,583,591.6667 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:

1 316,750,775
-1 -316,750,775

Let's try dividing by 4:

316,750,775 ÷ 4 = 79,187,693.75

If the quotient is a whole number, then 4 and 79,187,693.75 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:

1 316,750,775
-1 316,750,775
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551212756053,025104,711523,5551,151,8212,617,7755,759,10512,670,03128,795,52563,350,155316,750,775
-1-5-11-25-55-121-275-605-3,025-104,711-523,555-1,151,821-2,617,775-5,759,105-12,670,031-28,795,525-63,350,155-316,750,775

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