Q: What are the factor combinations of the number 179,619,485?

 A:
Positive:   1 x 1796194855 x 359238972753 x 6524513049 x 13765
Negative: -1 x -179619485-5 x -35923897-2753 x -65245-13049 x -13765


How do I find the factor combinations of the number 179,619,485?

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 179,619,485, 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.

1 179,619,485
-1 -179,619,485

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 179,619,485.

Example:
1 x 179,619,485 = 179,619,485
and
-1 x -179,619,485 = 179,619,485
Notice both answers equal 179,619,485

With that explanation out of the way, let's continue. Next, we take the number 179,619,485 and divide it by 2:

179,619,485 ÷ 2 = 89,809,742.5

If the quotient is a whole number, then 2 and 89,809,742.5 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:

1 179,619,485
-1 -179,619,485

Now, we try dividing 179,619,485 by 3:

179,619,485 ÷ 3 = 59,873,161.6667

If the quotient is a whole number, then 3 and 59,873,161.6667 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:

1 179,619,485
-1 -179,619,485

Let's try dividing by 4:

179,619,485 ÷ 4 = 44,904,871.25

If the quotient is a whole number, then 4 and 44,904,871.25 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:

1 179,619,485
-1 179,619,485
Keep dividing by the next highest number until you cannot divide anymore.

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

152,75313,04913,76565,24535,923,897179,619,485
-1-5-2,753-13,049-13,765-65,245-35,923,897-179,619,485

More Examples

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