Q: What are the factor combinations of the number 356,132,221?

 A:
Positive:   1 x 3561322215923 x 60127
Negative: -1 x -356132221-5923 x -60127


How do I find the factor combinations of the number 356,132,221?

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 356,132,221, 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.

1 356,132,221
-1 -356,132,221

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 356,132,221.

Example:
1 x 356,132,221 = 356,132,221
and
-1 x -356,132,221 = 356,132,221
Notice both answers equal 356,132,221

With that explanation out of the way, let's continue. Next, we take the number 356,132,221 and divide it by 2:

356,132,221 ÷ 2 = 178,066,110.5

If the quotient is a whole number, then 2 and 178,066,110.5 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:

1 356,132,221
-1 -356,132,221

Now, we try dividing 356,132,221 by 3:

356,132,221 ÷ 3 = 118,710,740.3333

If the quotient is a whole number, then 3 and 118,710,740.3333 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:

1 356,132,221
-1 -356,132,221

Let's try dividing by 4:

356,132,221 ÷ 4 = 89,033,055.25

If the quotient is a whole number, then 4 and 89,033,055.25 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:

1 356,132,221
-1 356,132,221
Keep dividing by the next highest number until you cannot divide anymore.

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

15,92360,127356,132,221
-1-5,923-60,127-356,132,221

More Examples

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