Q: What are the factor combinations of the number 1,563,055?

 A:
Positive:   1 x 15630555 x 31261113 x 12023565 x 24047139 x 11245173 x 9035695 x 2249865 x 1807
Negative: -1 x -1563055-5 x -312611-13 x -120235-65 x -24047-139 x -11245-173 x -9035-695 x -2249-865 x -1807


How do I find the factor combinations of the number 1,563,055?

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 1,563,055, 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 1,563,055
-1 -1,563,055

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 1,563,055.

Example:
1 x 1,563,055 = 1,563,055
and
-1 x -1,563,055 = 1,563,055
Notice both answers equal 1,563,055

With that explanation out of the way, let's continue. Next, we take the number 1,563,055 and divide it by 2:

1,563,055 ÷ 2 = 781,527.5

If the quotient is a whole number, then 2 and 781,527.5 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 1,563,055
-1 -1,563,055

Now, we try dividing 1,563,055 by 3:

1,563,055 ÷ 3 = 521,018.3333

If the quotient is a whole number, then 3 and 521,018.3333 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 1,563,055
-1 -1,563,055

Let's try dividing by 4:

1,563,055 ÷ 4 = 390,763.75

If the quotient is a whole number, then 4 and 390,763.75 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 1,563,055
-1 1,563,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651391736958651,8072,2499,03511,24524,047120,235312,6111,563,055
-1-5-13-65-139-173-695-865-1,807-2,249-9,035-11,245-24,047-120,235-312,611-1,563,055

More Examples

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