Q: What are the factor combinations of the number 553,653,655?

 A:
Positive:   1 x 5536536555 x 11073073147 x 11779865235 x 2355973
Negative: -1 x -553653655-5 x -110730731-47 x -11779865-235 x -2355973


How do I find the factor combinations of the number 553,653,655?

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 553,653,655, 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.

1 553,653,655
-1 -553,653,655

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 553,653,655.

Example:
1 x 553,653,655 = 553,653,655
and
-1 x -553,653,655 = 553,653,655
Notice both answers equal 553,653,655

With that explanation out of the way, let's continue. Next, we take the number 553,653,655 and divide it by 2:

553,653,655 ÷ 2 = 276,826,827.5

If the quotient is a whole number, then 2 and 276,826,827.5 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:

1 553,653,655
-1 -553,653,655

Now, we try dividing 553,653,655 by 3:

553,653,655 ÷ 3 = 184,551,218.3333

If the quotient is a whole number, then 3 and 184,551,218.3333 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:

1 553,653,655
-1 -553,653,655

Let's try dividing by 4:

553,653,655 ÷ 4 = 138,413,413.75

If the quotient is a whole number, then 4 and 138,413,413.75 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:

1 553,653,655
-1 553,653,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15472352,355,97311,779,865110,730,731553,653,655
-1-5-47-235-2,355,973-11,779,865-110,730,731-553,653,655

More Examples

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