Q: What are the factor combinations of the number 15,080,087?

 A:
Positive:   1 x 1508008711 x 137091729 x 52000341 x 367807319 x 47273451 x 334371153 x 130791189 x 12683
Negative: -1 x -15080087-11 x -1370917-29 x -520003-41 x -367807-319 x -47273-451 x -33437-1153 x -13079-1189 x -12683


How do I find the factor combinations of the number 15,080,087?

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 15,080,087, 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 15,080,087
-1 -15,080,087

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 15,080,087.

Example:
1 x 15,080,087 = 15,080,087
and
-1 x -15,080,087 = 15,080,087
Notice both answers equal 15,080,087

With that explanation out of the way, let's continue. Next, we take the number 15,080,087 and divide it by 2:

15,080,087 ÷ 2 = 7,540,043.5

If the quotient is a whole number, then 2 and 7,540,043.5 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 15,080,087
-1 -15,080,087

Now, we try dividing 15,080,087 by 3:

15,080,087 ÷ 3 = 5,026,695.6667

If the quotient is a whole number, then 3 and 5,026,695.6667 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 15,080,087
-1 -15,080,087

Let's try dividing by 4:

15,080,087 ÷ 4 = 3,770,021.75

If the quotient is a whole number, then 4 and 3,770,021.75 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 15,080,087
-1 15,080,087
Keep dividing by the next highest number until you cannot divide anymore.

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

11129413194511,1531,18912,68313,07933,43747,273367,807520,0031,370,91715,080,087
-1-11-29-41-319-451-1,153-1,189-12,683-13,079-33,437-47,273-367,807-520,003-1,370,917-15,080,087

More Examples

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