Q: What are the factor combinations of the number 1,521,551?

 A:
Positive:   1 x 152155117 x 8950337 x 4112341 x 3711159 x 25789629 x 2419697 x 21831003 x 1517
Negative: -1 x -1521551-17 x -89503-37 x -41123-41 x -37111-59 x -25789-629 x -2419-697 x -2183-1003 x -1517


How do I find the factor combinations of the number 1,521,551?

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 1,521,551, 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 1,521,551
-1 -1,521,551

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 1,521,551.

Example:
1 x 1,521,551 = 1,521,551
and
-1 x -1,521,551 = 1,521,551
Notice both answers equal 1,521,551

With that explanation out of the way, let's continue. Next, we take the number 1,521,551 and divide it by 2:

1,521,551 ÷ 2 = 760,775.5

If the quotient is a whole number, then 2 and 760,775.5 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 1,521,551
-1 -1,521,551

Now, we try dividing 1,521,551 by 3:

1,521,551 ÷ 3 = 507,183.6667

If the quotient is a whole number, then 3 and 507,183.6667 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 1,521,551
-1 -1,521,551

Let's try dividing by 4:

1,521,551 ÷ 4 = 380,387.75

If the quotient is a whole number, then 4 and 380,387.75 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 1,521,551
-1 1,521,551
Keep dividing by the next highest number until you cannot divide anymore.

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

1173741596296971,0031,5172,1832,41925,78937,11141,12389,5031,521,551
-1-17-37-41-59-629-697-1,003-1,517-2,183-2,419-25,789-37,111-41,123-89,503-1,521,551

More Examples

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