Q: What are the factor combinations of the number 15,240,109?

 A:
Positive:   1 x 1524010917 x 89647719 x 80211129 x 525521323 x 47183493 x 30913551 x 276591627 x 9367
Negative: -1 x -15240109-17 x -896477-19 x -802111-29 x -525521-323 x -47183-493 x -30913-551 x -27659-1627 x -9367


How do I find the factor combinations of the number 15,240,109?

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 15,240,109, 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 15,240,109
-1 -15,240,109

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 15,240,109.

Example:
1 x 15,240,109 = 15,240,109
and
-1 x -15,240,109 = 15,240,109
Notice both answers equal 15,240,109

With that explanation out of the way, let's continue. Next, we take the number 15,240,109 and divide it by 2:

15,240,109 ÷ 2 = 7,620,054.5

If the quotient is a whole number, then 2 and 7,620,054.5 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 15,240,109
-1 -15,240,109

Now, we try dividing 15,240,109 by 3:

15,240,109 ÷ 3 = 5,080,036.3333

If the quotient is a whole number, then 3 and 5,080,036.3333 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 15,240,109
-1 -15,240,109

Let's try dividing by 4:

15,240,109 ÷ 4 = 3,810,027.25

If the quotient is a whole number, then 4 and 3,810,027.25 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 15,240,109
-1 15,240,109
Keep dividing by the next highest number until you cannot divide anymore.

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

11719293234935511,6279,36727,65930,91347,183525,521802,111896,47715,240,109
-1-17-19-29-323-493-551-1,627-9,367-27,659-30,913-47,183-525,521-802,111-896,477-15,240,109

More Examples

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