Q: What are the factor combinations of the number 255,275,755?

 A:
Positive:   1 x 2552757555 x 510551517 x 3646796535 x 7293593347 x 7356651735 x 1471332429 x 10509512145 x 21019
Negative: -1 x -255275755-5 x -51055151-7 x -36467965-35 x -7293593-347 x -735665-1735 x -147133-2429 x -105095-12145 x -21019


How do I find the factor combinations of the number 255,275,755?

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 255,275,755, 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.

1 255,275,755
-1 -255,275,755

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 255,275,755.

Example:
1 x 255,275,755 = 255,275,755
and
-1 x -255,275,755 = 255,275,755
Notice both answers equal 255,275,755

With that explanation out of the way, let's continue. Next, we take the number 255,275,755 and divide it by 2:

255,275,755 ÷ 2 = 127,637,877.5

If the quotient is a whole number, then 2 and 127,637,877.5 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:

1 255,275,755
-1 -255,275,755

Now, we try dividing 255,275,755 by 3:

255,275,755 ÷ 3 = 85,091,918.3333

If the quotient is a whole number, then 3 and 85,091,918.3333 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:

1 255,275,755
-1 -255,275,755

Let's try dividing by 4:

255,275,755 ÷ 4 = 63,818,938.75

If the quotient is a whole number, then 4 and 63,818,938.75 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:

1 255,275,755
-1 255,275,755
Keep dividing by the next highest number until you cannot divide anymore.

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

157353471,7352,42912,14521,019105,095147,133735,6657,293,59336,467,96551,055,151255,275,755
-1-5-7-35-347-1,735-2,429-12,145-21,019-105,095-147,133-735,665-7,293,593-36,467,965-51,055,151-255,275,755

More Examples

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