Q: What are the factor combinations of the number 270,179,063?

 A:
Positive:   1 x 2701790637 x 3859700911 x 2456173377 x 3508819109 x 2478707763 x 3541011199 x 2253378393 x 32191
Negative: -1 x -270179063-7 x -38597009-11 x -24561733-77 x -3508819-109 x -2478707-763 x -354101-1199 x -225337-8393 x -32191


How do I find the factor combinations of the number 270,179,063?

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 270,179,063, 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.

1 270,179,063
-1 -270,179,063

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 270,179,063.

Example:
1 x 270,179,063 = 270,179,063
and
-1 x -270,179,063 = 270,179,063
Notice both answers equal 270,179,063

With that explanation out of the way, let's continue. Next, we take the number 270,179,063 and divide it by 2:

270,179,063 ÷ 2 = 135,089,531.5

If the quotient is a whole number, then 2 and 135,089,531.5 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:

1 270,179,063
-1 -270,179,063

Now, we try dividing 270,179,063 by 3:

270,179,063 ÷ 3 = 90,059,687.6667

If the quotient is a whole number, then 3 and 90,059,687.6667 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:

1 270,179,063
-1 -270,179,063

Let's try dividing by 4:

270,179,063 ÷ 4 = 67,544,765.75

If the quotient is a whole number, then 4 and 67,544,765.75 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:

1 270,179,063
-1 270,179,063
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771097631,1998,39332,191225,337354,1012,478,7073,508,81924,561,73338,597,009270,179,063
-1-7-11-77-109-763-1,199-8,393-32,191-225,337-354,101-2,478,707-3,508,819-24,561,733-38,597,009-270,179,063

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