Q: What are the factor combinations of the number 178,941,361?

 A:
Positive:   1 x 17894136137 x 483625343 x 416142747 x 38072631591 x 1124711739 x 1028992021 x 885412393 x 74777
Negative: -1 x -178941361-37 x -4836253-43 x -4161427-47 x -3807263-1591 x -112471-1739 x -102899-2021 x -88541-2393 x -74777


How do I find the factor combinations of the number 178,941,361?

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 178,941,361, 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.

1 178,941,361
-1 -178,941,361

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 178,941,361.

Example:
1 x 178,941,361 = 178,941,361
and
-1 x -178,941,361 = 178,941,361
Notice both answers equal 178,941,361

With that explanation out of the way, let's continue. Next, we take the number 178,941,361 and divide it by 2:

178,941,361 ÷ 2 = 89,470,680.5

If the quotient is a whole number, then 2 and 89,470,680.5 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:

1 178,941,361
-1 -178,941,361

Now, we try dividing 178,941,361 by 3:

178,941,361 ÷ 3 = 59,647,120.3333

If the quotient is a whole number, then 3 and 59,647,120.3333 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:

1 178,941,361
-1 -178,941,361

Let's try dividing by 4:

178,941,361 ÷ 4 = 44,735,340.25

If the quotient is a whole number, then 4 and 44,735,340.25 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:

1 178,941,361
-1 178,941,361
Keep dividing by the next highest number until you cannot divide anymore.

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

13743471,5911,7392,0212,39374,77788,541102,899112,4713,807,2634,161,4274,836,253178,941,361
-1-37-43-47-1,591-1,739-2,021-2,393-74,777-88,541-102,899-112,471-3,807,263-4,161,427-4,836,253-178,941,361

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