Q: What are the factor combinations of the number 161,630,021?

 A:
Positive:   1 x 1616300217 x 2309000329 x 5573449203 x 796207709 x 2279691123 x 1439274963 x 325677861 x 20561
Negative: -1 x -161630021-7 x -23090003-29 x -5573449-203 x -796207-709 x -227969-1123 x -143927-4963 x -32567-7861 x -20561


How do I find the factor combinations of the number 161,630,021?

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 161,630,021, 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.

1 161,630,021
-1 -161,630,021

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 161,630,021.

Example:
1 x 161,630,021 = 161,630,021
and
-1 x -161,630,021 = 161,630,021
Notice both answers equal 161,630,021

With that explanation out of the way, let's continue. Next, we take the number 161,630,021 and divide it by 2:

161,630,021 ÷ 2 = 80,815,010.5

If the quotient is a whole number, then 2 and 80,815,010.5 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:

1 161,630,021
-1 -161,630,021

Now, we try dividing 161,630,021 by 3:

161,630,021 ÷ 3 = 53,876,673.6667

If the quotient is a whole number, then 3 and 53,876,673.6667 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:

1 161,630,021
-1 -161,630,021

Let's try dividing by 4:

161,630,021 ÷ 4 = 40,407,505.25

If the quotient is a whole number, then 4 and 40,407,505.25 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:

1 161,630,021
-1 161,630,021
Keep dividing by the next highest number until you cannot divide anymore.

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

17292037091,1234,9637,86120,56132,567143,927227,969796,2075,573,44923,090,003161,630,021
-1-7-29-203-709-1,123-4,963-7,861-20,561-32,567-143,927-227,969-796,207-5,573,449-23,090,003-161,630,021

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