Q: What are the factor combinations of the number 1,587,131?

 A:
Positive:   1 x 15871317 x 22673313 x 12208791 x 17441107 x 14833163 x 9737749 x 21191141 x 1391
Negative: -1 x -1587131-7 x -226733-13 x -122087-91 x -17441-107 x -14833-163 x -9737-749 x -2119-1141 x -1391


How do I find the factor combinations of the number 1,587,131?

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 1,587,131, 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 1,587,131
-1 -1,587,131

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 1,587,131.

Example:
1 x 1,587,131 = 1,587,131
and
-1 x -1,587,131 = 1,587,131
Notice both answers equal 1,587,131

With that explanation out of the way, let's continue. Next, we take the number 1,587,131 and divide it by 2:

1,587,131 ÷ 2 = 793,565.5

If the quotient is a whole number, then 2 and 793,565.5 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 1,587,131
-1 -1,587,131

Now, we try dividing 1,587,131 by 3:

1,587,131 ÷ 3 = 529,043.6667

If the quotient is a whole number, then 3 and 529,043.6667 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 1,587,131
-1 -1,587,131

Let's try dividing by 4:

1,587,131 ÷ 4 = 396,782.75

If the quotient is a whole number, then 4 and 396,782.75 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 1,587,131
-1 1,587,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911071637491,1411,3912,1199,73714,83317,441122,087226,7331,587,131
-1-7-13-91-107-163-749-1,141-1,391-2,119-9,737-14,833-17,441-122,087-226,733-1,587,131

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