Q: What are the factor combinations of the number 376,246,775?

 A:
Positive:   1 x 3762467755 x 7524935525 x 1504987143 x 8749925107 x 3516325215 x 1749985535 x 7032651075 x 3499972675 x 1406533271 x 1150254601 x 8177516355 x 23005
Negative: -1 x -376246775-5 x -75249355-25 x -15049871-43 x -8749925-107 x -3516325-215 x -1749985-535 x -703265-1075 x -349997-2675 x -140653-3271 x -115025-4601 x -81775-16355 x -23005


How do I find the factor combinations of the number 376,246,775?

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 376,246,775, 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.

1 376,246,775
-1 -376,246,775

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 376,246,775.

Example:
1 x 376,246,775 = 376,246,775
and
-1 x -376,246,775 = 376,246,775
Notice both answers equal 376,246,775

With that explanation out of the way, let's continue. Next, we take the number 376,246,775 and divide it by 2:

376,246,775 ÷ 2 = 188,123,387.5

If the quotient is a whole number, then 2 and 188,123,387.5 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:

1 376,246,775
-1 -376,246,775

Now, we try dividing 376,246,775 by 3:

376,246,775 ÷ 3 = 125,415,591.6667

If the quotient is a whole number, then 3 and 125,415,591.6667 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:

1 376,246,775
-1 -376,246,775

Let's try dividing by 4:

376,246,775 ÷ 4 = 94,061,693.75

If the quotient is a whole number, then 4 and 94,061,693.75 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:

1 376,246,775
-1 376,246,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431072155351,0752,6753,2714,60116,35523,00581,775115,025140,653349,997703,2651,749,9853,516,3258,749,92515,049,87175,249,355376,246,775
-1-5-25-43-107-215-535-1,075-2,675-3,271-4,601-16,355-23,005-81,775-115,025-140,653-349,997-703,265-1,749,985-3,516,325-8,749,925-15,049,871-75,249,355-376,246,775

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