Q: What are the factor combinations of the number 270,725,845?

 A:
Positive:   1 x 2707258455 x 5414516913 x 2082506565 x 41650131949 x 1389052137 x 1266859745 x 2778110685 x 25337
Negative: -1 x -270725845-5 x -54145169-13 x -20825065-65 x -4165013-1949 x -138905-2137 x -126685-9745 x -27781-10685 x -25337


How do I find the factor combinations of the number 270,725,845?

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 270,725,845, 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.

1 270,725,845
-1 -270,725,845

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 270,725,845.

Example:
1 x 270,725,845 = 270,725,845
and
-1 x -270,725,845 = 270,725,845
Notice both answers equal 270,725,845

With that explanation out of the way, let's continue. Next, we take the number 270,725,845 and divide it by 2:

270,725,845 ÷ 2 = 135,362,922.5

If the quotient is a whole number, then 2 and 135,362,922.5 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:

1 270,725,845
-1 -270,725,845

Now, we try dividing 270,725,845 by 3:

270,725,845 ÷ 3 = 90,241,948.3333

If the quotient is a whole number, then 3 and 90,241,948.3333 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:

1 270,725,845
-1 -270,725,845

Let's try dividing by 4:

270,725,845 ÷ 4 = 67,681,461.25

If the quotient is a whole number, then 4 and 67,681,461.25 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:

1 270,725,845
-1 270,725,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,9492,1379,74510,68525,33727,781126,685138,9054,165,01320,825,06554,145,169270,725,845
-1-5-13-65-1,949-2,137-9,745-10,685-25,337-27,781-126,685-138,905-4,165,013-20,825,065-54,145,169-270,725,845

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