Q: What are the factor combinations of the number 13,552,007?

 A:
Positive:   1 x 135520077 x 1936001727 x 186412663 x 5089
Negative: -1 x -13552007-7 x -1936001-727 x -18641-2663 x -5089


How do I find the factor combinations of the number 13,552,007?

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 13,552,007, 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 13,552,007
-1 -13,552,007

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 13,552,007.

Example:
1 x 13,552,007 = 13,552,007
and
-1 x -13,552,007 = 13,552,007
Notice both answers equal 13,552,007

With that explanation out of the way, let's continue. Next, we take the number 13,552,007 and divide it by 2:

13,552,007 ÷ 2 = 6,776,003.5

If the quotient is a whole number, then 2 and 6,776,003.5 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 13,552,007
-1 -13,552,007

Now, we try dividing 13,552,007 by 3:

13,552,007 ÷ 3 = 4,517,335.6667

If the quotient is a whole number, then 3 and 4,517,335.6667 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 13,552,007
-1 -13,552,007

Let's try dividing by 4:

13,552,007 ÷ 4 = 3,388,001.75

If the quotient is a whole number, then 4 and 3,388,001.75 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 13,552,007
-1 13,552,007
Keep dividing by the next highest number until you cannot divide anymore.

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

177272,6635,08918,6411,936,00113,552,007
-1-7-727-2,663-5,089-18,641-1,936,001-13,552,007

More Examples

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