Q: What are the factor combinations of the number 15,055,139?

 A:
Positive:   1 x 1505513911 x 1368649823 x 182931663 x 9053
Negative: -1 x -15055139-11 x -1368649-823 x -18293-1663 x -9053


How do I find the factor combinations of the number 15,055,139?

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 15,055,139, 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 15,055,139
-1 -15,055,139

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 15,055,139.

Example:
1 x 15,055,139 = 15,055,139
and
-1 x -15,055,139 = 15,055,139
Notice both answers equal 15,055,139

With that explanation out of the way, let's continue. Next, we take the number 15,055,139 and divide it by 2:

15,055,139 ÷ 2 = 7,527,569.5

If the quotient is a whole number, then 2 and 7,527,569.5 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 15,055,139
-1 -15,055,139

Now, we try dividing 15,055,139 by 3:

15,055,139 ÷ 3 = 5,018,379.6667

If the quotient is a whole number, then 3 and 5,018,379.6667 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 15,055,139
-1 -15,055,139

Let's try dividing by 4:

15,055,139 ÷ 4 = 3,763,784.75

If the quotient is a whole number, then 4 and 3,763,784.75 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 15,055,139
-1 15,055,139
Keep dividing by the next highest number until you cannot divide anymore.

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

1118231,6639,05318,2931,368,64915,055,139
-1-11-823-1,663-9,053-18,293-1,368,649-15,055,139

More Examples

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