Q: What are the factor combinations of the number 13,330,837?

 A:
Positive:   1 x 1333083713 x 102544919 x 70162331 x 430027247 x 53971403 x 33079589 x 226331741 x 7657
Negative: -1 x -13330837-13 x -1025449-19 x -701623-31 x -430027-247 x -53971-403 x -33079-589 x -22633-1741 x -7657


How do I find the factor combinations of the number 13,330,837?

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 13,330,837, 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 13,330,837
-1 -13,330,837

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 13,330,837.

Example:
1 x 13,330,837 = 13,330,837
and
-1 x -13,330,837 = 13,330,837
Notice both answers equal 13,330,837

With that explanation out of the way, let's continue. Next, we take the number 13,330,837 and divide it by 2:

13,330,837 ÷ 2 = 6,665,418.5

If the quotient is a whole number, then 2 and 6,665,418.5 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 13,330,837
-1 -13,330,837

Now, we try dividing 13,330,837 by 3:

13,330,837 ÷ 3 = 4,443,612.3333

If the quotient is a whole number, then 3 and 4,443,612.3333 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 13,330,837
-1 -13,330,837

Let's try dividing by 4:

13,330,837 ÷ 4 = 3,332,709.25

If the quotient is a whole number, then 4 and 3,332,709.25 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 13,330,837
-1 13,330,837
Keep dividing by the next highest number until you cannot divide anymore.

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

11319312474035891,7417,65722,63333,07953,971430,027701,6231,025,44913,330,837
-1-13-19-31-247-403-589-1,741-7,657-22,633-33,079-53,971-430,027-701,623-1,025,449-13,330,837

More Examples

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