Q: What are the factor combinations of the number 15,005,267?

 A:
Positive:   1 x 1500526729 x 51742347 x 319261101 x 148567109 x 1376631363 x 110092929 x 51233161 x 4747
Negative: -1 x -15005267-29 x -517423-47 x -319261-101 x -148567-109 x -137663-1363 x -11009-2929 x -5123-3161 x -4747


How do I find the factor combinations of the number 15,005,267?

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 15,005,267, 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 15,005,267
-1 -15,005,267

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 15,005,267.

Example:
1 x 15,005,267 = 15,005,267
and
-1 x -15,005,267 = 15,005,267
Notice both answers equal 15,005,267

With that explanation out of the way, let's continue. Next, we take the number 15,005,267 and divide it by 2:

15,005,267 ÷ 2 = 7,502,633.5

If the quotient is a whole number, then 2 and 7,502,633.5 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 15,005,267
-1 -15,005,267

Now, we try dividing 15,005,267 by 3:

15,005,267 ÷ 3 = 5,001,755.6667

If the quotient is a whole number, then 3 and 5,001,755.6667 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 15,005,267
-1 -15,005,267

Let's try dividing by 4:

15,005,267 ÷ 4 = 3,751,316.75

If the quotient is a whole number, then 4 and 3,751,316.75 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 15,005,267
-1 15,005,267
Keep dividing by the next highest number until you cannot divide anymore.

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

129471011091,3632,9293,1614,7475,12311,009137,663148,567319,261517,42315,005,267
-1-29-47-101-109-1,363-2,929-3,161-4,747-5,123-11,009-137,663-148,567-319,261-517,423-15,005,267

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