Q: What are the factor combinations of the number 13,325,221?

 A:
Positive:   1 x 133252217 x 190360313 x 102501791 x 146431127 x 104923889 x 149891153 x 115571651 x 8071
Negative: -1 x -13325221-7 x -1903603-13 x -1025017-91 x -146431-127 x -104923-889 x -14989-1153 x -11557-1651 x -8071


How do I find the factor combinations of the number 13,325,221?

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 13,325,221, 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 13,325,221
-1 -13,325,221

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 13,325,221.

Example:
1 x 13,325,221 = 13,325,221
and
-1 x -13,325,221 = 13,325,221
Notice both answers equal 13,325,221

With that explanation out of the way, let's continue. Next, we take the number 13,325,221 and divide it by 2:

13,325,221 ÷ 2 = 6,662,610.5

If the quotient is a whole number, then 2 and 6,662,610.5 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 13,325,221
-1 -13,325,221

Now, we try dividing 13,325,221 by 3:

13,325,221 ÷ 3 = 4,441,740.3333

If the quotient is a whole number, then 3 and 4,441,740.3333 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 13,325,221
-1 -13,325,221

Let's try dividing by 4:

13,325,221 ÷ 4 = 3,331,305.25

If the quotient is a whole number, then 4 and 3,331,305.25 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 13,325,221
-1 13,325,221
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911278891,1531,6518,07111,55714,989104,923146,4311,025,0171,903,60313,325,221
-1-7-13-91-127-889-1,153-1,651-8,071-11,557-14,989-104,923-146,431-1,025,017-1,903,603-13,325,221

More Examples

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