Q: What are the factor combinations of the number 356,615,413?

 A:
Positive:   1 x 3566154137 x 5094505911 x 3241958331 x 1150372377 x 4631369217 x 1643389341 x 10457932387 x 149399
Negative: -1 x -356615413-7 x -50945059-11 x -32419583-31 x -11503723-77 x -4631369-217 x -1643389-341 x -1045793-2387 x -149399


How do I find the factor combinations of the number 356,615,413?

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 356,615,413, 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.

1 356,615,413
-1 -356,615,413

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 356,615,413.

Example:
1 x 356,615,413 = 356,615,413
and
-1 x -356,615,413 = 356,615,413
Notice both answers equal 356,615,413

With that explanation out of the way, let's continue. Next, we take the number 356,615,413 and divide it by 2:

356,615,413 ÷ 2 = 178,307,706.5

If the quotient is a whole number, then 2 and 178,307,706.5 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:

1 356,615,413
-1 -356,615,413

Now, we try dividing 356,615,413 by 3:

356,615,413 ÷ 3 = 118,871,804.3333

If the quotient is a whole number, then 3 and 118,871,804.3333 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:

1 356,615,413
-1 -356,615,413

Let's try dividing by 4:

356,615,413 ÷ 4 = 89,153,853.25

If the quotient is a whole number, then 4 and 89,153,853.25 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:

1 356,615,413
-1 356,615,413
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,387149,3991,045,7931,643,3894,631,36911,503,72332,419,58350,945,059356,615,413
-1-7-11-31-77-217-341-2,387-149,399-1,045,793-1,643,389-4,631,369-11,503,723-32,419,583-50,945,059-356,615,413

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