Q: What are the factor combinations of the number 1,515,631?

 A:
Positive:   1 x 151563113 x 11658723 x 6589737 x 40963137 x 11063299 x 5069481 x 3151851 x 1781
Negative: -1 x -1515631-13 x -116587-23 x -65897-37 x -40963-137 x -11063-299 x -5069-481 x -3151-851 x -1781


How do I find the factor combinations of the number 1,515,631?

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 1,515,631, 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 1,515,631
-1 -1,515,631

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 1,515,631.

Example:
1 x 1,515,631 = 1,515,631
and
-1 x -1,515,631 = 1,515,631
Notice both answers equal 1,515,631

With that explanation out of the way, let's continue. Next, we take the number 1,515,631 and divide it by 2:

1,515,631 ÷ 2 = 757,815.5

If the quotient is a whole number, then 2 and 757,815.5 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 1,515,631
-1 -1,515,631

Now, we try dividing 1,515,631 by 3:

1,515,631 ÷ 3 = 505,210.3333

If the quotient is a whole number, then 3 and 505,210.3333 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 1,515,631
-1 -1,515,631

Let's try dividing by 4:

1,515,631 ÷ 4 = 378,907.75

If the quotient is a whole number, then 4 and 378,907.75 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 1,515,631
-1 1,515,631
Keep dividing by the next highest number until you cannot divide anymore.

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

11323371372994818511,7813,1515,06911,06340,96365,897116,5871,515,631
-1-13-23-37-137-299-481-851-1,781-3,151-5,069-11,063-40,963-65,897-116,587-1,515,631

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