Q: What are the factor combinations of the number 555,753,565?

 A:
Positive:   1 x 5557535655 x 11115071341 x 1355496571 x 7827515205 x 2710993355 x 15655032911 x 19091514555 x 38183
Negative: -1 x -555753565-5 x -111150713-41 x -13554965-71 x -7827515-205 x -2710993-355 x -1565503-2911 x -190915-14555 x -38183


How do I find the factor combinations of the number 555,753,565?

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 555,753,565, 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.

1 555,753,565
-1 -555,753,565

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 555,753,565.

Example:
1 x 555,753,565 = 555,753,565
and
-1 x -555,753,565 = 555,753,565
Notice both answers equal 555,753,565

With that explanation out of the way, let's continue. Next, we take the number 555,753,565 and divide it by 2:

555,753,565 ÷ 2 = 277,876,782.5

If the quotient is a whole number, then 2 and 277,876,782.5 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:

1 555,753,565
-1 -555,753,565

Now, we try dividing 555,753,565 by 3:

555,753,565 ÷ 3 = 185,251,188.3333

If the quotient is a whole number, then 3 and 185,251,188.3333 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:

1 555,753,565
-1 -555,753,565

Let's try dividing by 4:

555,753,565 ÷ 4 = 138,938,391.25

If the quotient is a whole number, then 4 and 138,938,391.25 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:

1 555,753,565
-1 555,753,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1541712053552,91114,55538,183190,9151,565,5032,710,9937,827,51513,554,965111,150,713555,753,565
-1-5-41-71-205-355-2,911-14,555-38,183-190,915-1,565,503-2,710,993-7,827,515-13,554,965-111,150,713-555,753,565

More Examples

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