Q: What are the factor combinations of the number 1,563,155?

 A:
Positive:   1 x 15631555 x 31263111 x 14210555 x 2842197 x 16115293 x 5335485 x 32231067 x 1465
Negative: -1 x -1563155-5 x -312631-11 x -142105-55 x -28421-97 x -16115-293 x -5335-485 x -3223-1067 x -1465


How do I find the factor combinations of the number 1,563,155?

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 1,563,155, 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 1,563,155
-1 -1,563,155

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 1,563,155.

Example:
1 x 1,563,155 = 1,563,155
and
-1 x -1,563,155 = 1,563,155
Notice both answers equal 1,563,155

With that explanation out of the way, let's continue. Next, we take the number 1,563,155 and divide it by 2:

1,563,155 ÷ 2 = 781,577.5

If the quotient is a whole number, then 2 and 781,577.5 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 1,563,155
-1 -1,563,155

Now, we try dividing 1,563,155 by 3:

1,563,155 ÷ 3 = 521,051.6667

If the quotient is a whole number, then 3 and 521,051.6667 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 1,563,155
-1 -1,563,155

Let's try dividing by 4:

1,563,155 ÷ 4 = 390,788.75

If the quotient is a whole number, then 4 and 390,788.75 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 1,563,155
-1 1,563,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151155972934851,0671,4653,2235,33516,11528,421142,105312,6311,563,155
-1-5-11-55-97-293-485-1,067-1,465-3,223-5,335-16,115-28,421-142,105-312,631-1,563,155

More Examples

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