Q: What are the factor combinations of the number 1,563,793?

 A:
Positive:   1 x 15637937 x 22339911 x 14216323 x 6799177 x 20309161 x 9713253 x 6181883 x 1771
Negative: -1 x -1563793-7 x -223399-11 x -142163-23 x -67991-77 x -20309-161 x -9713-253 x -6181-883 x -1771


How do I find the factor combinations of the number 1,563,793?

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 1,563,793, 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 1,563,793
-1 -1,563,793

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 1,563,793.

Example:
1 x 1,563,793 = 1,563,793
and
-1 x -1,563,793 = 1,563,793
Notice both answers equal 1,563,793

With that explanation out of the way, let's continue. Next, we take the number 1,563,793 and divide it by 2:

1,563,793 ÷ 2 = 781,896.5

If the quotient is a whole number, then 2 and 781,896.5 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 1,563,793
-1 -1,563,793

Now, we try dividing 1,563,793 by 3:

1,563,793 ÷ 3 = 521,264.3333

If the quotient is a whole number, then 3 and 521,264.3333 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 1,563,793
-1 -1,563,793

Let's try dividing by 4:

1,563,793 ÷ 4 = 390,948.25

If the quotient is a whole number, then 4 and 390,948.25 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 1,563,793
-1 1,563,793
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612538831,7716,1819,71320,30967,991142,163223,3991,563,793
-1-7-11-23-77-161-253-883-1,771-6,181-9,713-20,309-67,991-142,163-223,399-1,563,793

More Examples

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