Q: What are the factor combinations of the number 255,350,555?

 A:
Positive:   1 x 2553505555 x 5107011143 x 593838553 x 4817935215 x 1187677265 x 9635872279 x 11204511395 x 22409
Negative: -1 x -255350555-5 x -51070111-43 x -5938385-53 x -4817935-215 x -1187677-265 x -963587-2279 x -112045-11395 x -22409


How do I find the factor combinations of the number 255,350,555?

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 255,350,555, 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.

1 255,350,555
-1 -255,350,555

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 255,350,555.

Example:
1 x 255,350,555 = 255,350,555
and
-1 x -255,350,555 = 255,350,555
Notice both answers equal 255,350,555

With that explanation out of the way, let's continue. Next, we take the number 255,350,555 and divide it by 2:

255,350,555 ÷ 2 = 127,675,277.5

If the quotient is a whole number, then 2 and 127,675,277.5 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:

1 255,350,555
-1 -255,350,555

Now, we try dividing 255,350,555 by 3:

255,350,555 ÷ 3 = 85,116,851.6667

If the quotient is a whole number, then 3 and 85,116,851.6667 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:

1 255,350,555
-1 -255,350,555

Let's try dividing by 4:

255,350,555 ÷ 4 = 63,837,638.75

If the quotient is a whole number, then 4 and 63,837,638.75 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:

1 255,350,555
-1 255,350,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1543532152652,27911,39522,409112,045963,5871,187,6774,817,9355,938,38551,070,111255,350,555
-1-5-43-53-215-265-2,279-11,395-22,409-112,045-963,587-1,187,677-4,817,935-5,938,385-51,070,111-255,350,555

More Examples

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