Q: What are the factor combinations of the number 373,874,413?

 A:
Positive:   1 x 37387441311 x 3398858383 x 4504511283 x 1321111913 x 4095011447 x 2583793113 x 12010115917 x 23489
Negative: -1 x -373874413-11 x -33988583-83 x -4504511-283 x -1321111-913 x -409501-1447 x -258379-3113 x -120101-15917 x -23489


How do I find the factor combinations of the number 373,874,413?

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 373,874,413, 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.

1 373,874,413
-1 -373,874,413

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 373,874,413.

Example:
1 x 373,874,413 = 373,874,413
and
-1 x -373,874,413 = 373,874,413
Notice both answers equal 373,874,413

With that explanation out of the way, let's continue. Next, we take the number 373,874,413 and divide it by 2:

373,874,413 ÷ 2 = 186,937,206.5

If the quotient is a whole number, then 2 and 186,937,206.5 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:

1 373,874,413
-1 -373,874,413

Now, we try dividing 373,874,413 by 3:

373,874,413 ÷ 3 = 124,624,804.3333

If the quotient is a whole number, then 3 and 124,624,804.3333 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:

1 373,874,413
-1 -373,874,413

Let's try dividing by 4:

373,874,413 ÷ 4 = 93,468,603.25

If the quotient is a whole number, then 4 and 93,468,603.25 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:

1 373,874,413
-1 373,874,413
Keep dividing by the next highest number until you cannot divide anymore.

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

111832839131,4473,11315,91723,489120,101258,379409,5011,321,1114,504,51133,988,583373,874,413
-1-11-83-283-913-1,447-3,113-15,917-23,489-120,101-258,379-409,501-1,321,111-4,504,511-33,988,583-373,874,413

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