Q: What are the factor combinations of the number 178,511,965?

 A:
Positive:   1 x 1785119655 x 3570239329 x 6155585145 x 1231117463 x 3855552315 x 771112659 x 6713513295 x 13427
Negative: -1 x -178511965-5 x -35702393-29 x -6155585-145 x -1231117-463 x -385555-2315 x -77111-2659 x -67135-13295 x -13427


How do I find the factor combinations of the number 178,511,965?

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 178,511,965, 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.

1 178,511,965
-1 -178,511,965

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 178,511,965.

Example:
1 x 178,511,965 = 178,511,965
and
-1 x -178,511,965 = 178,511,965
Notice both answers equal 178,511,965

With that explanation out of the way, let's continue. Next, we take the number 178,511,965 and divide it by 2:

178,511,965 ÷ 2 = 89,255,982.5

If the quotient is a whole number, then 2 and 89,255,982.5 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:

1 178,511,965
-1 -178,511,965

Now, we try dividing 178,511,965 by 3:

178,511,965 ÷ 3 = 59,503,988.3333

If the quotient is a whole number, then 3 and 59,503,988.3333 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:

1 178,511,965
-1 -178,511,965

Let's try dividing by 4:

178,511,965 ÷ 4 = 44,627,991.25

If the quotient is a whole number, then 4 and 44,627,991.25 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:

1 178,511,965
-1 178,511,965
Keep dividing by the next highest number until you cannot divide anymore.

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

15291454632,3152,65913,29513,42767,13577,111385,5551,231,1176,155,58535,702,393178,511,965
-1-5-29-145-463-2,315-2,659-13,295-13,427-67,135-77,111-385,555-1,231,117-6,155,585-35,702,393-178,511,965

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