Q: What are the factor combinations of the number 161,840,567?

 A:
Positive:   1 x 1618405677 x 231200814729 x 342234889 x 33103
Negative: -1 x -161840567-7 x -23120081-4729 x -34223-4889 x -33103


How do I find the factor combinations of the number 161,840,567?

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 161,840,567, 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.

1 161,840,567
-1 -161,840,567

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 161,840,567.

Example:
1 x 161,840,567 = 161,840,567
and
-1 x -161,840,567 = 161,840,567
Notice both answers equal 161,840,567

With that explanation out of the way, let's continue. Next, we take the number 161,840,567 and divide it by 2:

161,840,567 ÷ 2 = 80,920,283.5

If the quotient is a whole number, then 2 and 80,920,283.5 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:

1 161,840,567
-1 -161,840,567

Now, we try dividing 161,840,567 by 3:

161,840,567 ÷ 3 = 53,946,855.6667

If the quotient is a whole number, then 3 and 53,946,855.6667 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:

1 161,840,567
-1 -161,840,567

Let's try dividing by 4:

161,840,567 ÷ 4 = 40,460,141.75

If the quotient is a whole number, then 4 and 40,460,141.75 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:

1 161,840,567
-1 161,840,567
Keep dividing by the next highest number until you cannot divide anymore.

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

174,7294,88933,10334,22323,120,081161,840,567
-1-7-4,729-4,889-33,103-34,223-23,120,081-161,840,567

More Examples

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