Q: What are the factor combinations of the number 270,845,239?

 A:
Positive:   1 x 2708452397 x 3869217729 x 9339491203 x 1334213883 x 3067331511 x 1792496181 x 4381910577 x 25607
Negative: -1 x -270845239-7 x -38692177-29 x -9339491-203 x -1334213-883 x -306733-1511 x -179249-6181 x -43819-10577 x -25607


How do I find the factor combinations of the number 270,845,239?

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 270,845,239, 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.

1 270,845,239
-1 -270,845,239

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 270,845,239.

Example:
1 x 270,845,239 = 270,845,239
and
-1 x -270,845,239 = 270,845,239
Notice both answers equal 270,845,239

With that explanation out of the way, let's continue. Next, we take the number 270,845,239 and divide it by 2:

270,845,239 ÷ 2 = 135,422,619.5

If the quotient is a whole number, then 2 and 135,422,619.5 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:

1 270,845,239
-1 -270,845,239

Now, we try dividing 270,845,239 by 3:

270,845,239 ÷ 3 = 90,281,746.3333

If the quotient is a whole number, then 3 and 90,281,746.3333 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:

1 270,845,239
-1 -270,845,239

Let's try dividing by 4:

270,845,239 ÷ 4 = 67,711,309.75

If the quotient is a whole number, then 4 and 67,711,309.75 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:

1 270,845,239
-1 270,845,239
Keep dividing by the next highest number until you cannot divide anymore.

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

17292038831,5116,18110,57725,60743,819179,249306,7331,334,2139,339,49138,692,177270,845,239
-1-7-29-203-883-1,511-6,181-10,577-25,607-43,819-179,249-306,733-1,334,213-9,339,491-38,692,177-270,845,239

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