Q: What are the factor combinations of the number 168,483,665?

 A:
Positive:   1 x 1684836655 x 336967337 x 2406909535 x 481381997 x 1736945485 x 347389679 x 2481353395 x 49627
Negative: -1 x -168483665-5 x -33696733-7 x -24069095-35 x -4813819-97 x -1736945-485 x -347389-679 x -248135-3395 x -49627


How do I find the factor combinations of the number 168,483,665?

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 168,483,665, 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.

1 168,483,665
-1 -168,483,665

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 168,483,665.

Example:
1 x 168,483,665 = 168,483,665
and
-1 x -168,483,665 = 168,483,665
Notice both answers equal 168,483,665

With that explanation out of the way, let's continue. Next, we take the number 168,483,665 and divide it by 2:

168,483,665 ÷ 2 = 84,241,832.5

If the quotient is a whole number, then 2 and 84,241,832.5 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:

1 168,483,665
-1 -168,483,665

Now, we try dividing 168,483,665 by 3:

168,483,665 ÷ 3 = 56,161,221.6667

If the quotient is a whole number, then 3 and 56,161,221.6667 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:

1 168,483,665
-1 -168,483,665

Let's try dividing by 4:

168,483,665 ÷ 4 = 42,120,916.25

If the quotient is a whole number, then 4 and 42,120,916.25 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:

1 168,483,665
-1 168,483,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15735974856793,39549,627248,135347,3891,736,9454,813,81924,069,09533,696,733168,483,665
-1-5-7-35-97-485-679-3,395-49,627-248,135-347,389-1,736,945-4,813,819-24,069,095-33,696,733-168,483,665

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