Q: What are the factor combinations of the number 23,307,167?

 A:
Positive:   1 x 2330716713 x 179285919 x 1226693127 x 183521247 x 94361743 x 313691651 x 141172413 x 9659
Negative: -1 x -23307167-13 x -1792859-19 x -1226693-127 x -183521-247 x -94361-743 x -31369-1651 x -14117-2413 x -9659


How do I find the factor combinations of the number 23,307,167?

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 23,307,167, 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 23,307,167
-1 -23,307,167

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 23,307,167.

Example:
1 x 23,307,167 = 23,307,167
and
-1 x -23,307,167 = 23,307,167
Notice both answers equal 23,307,167

With that explanation out of the way, let's continue. Next, we take the number 23,307,167 and divide it by 2:

23,307,167 ÷ 2 = 11,653,583.5

If the quotient is a whole number, then 2 and 11,653,583.5 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 23,307,167
-1 -23,307,167

Now, we try dividing 23,307,167 by 3:

23,307,167 ÷ 3 = 7,769,055.6667

If the quotient is a whole number, then 3 and 7,769,055.6667 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 23,307,167
-1 -23,307,167

Let's try dividing by 4:

23,307,167 ÷ 4 = 5,826,791.75

If the quotient is a whole number, then 4 and 5,826,791.75 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 23,307,167
-1 23,307,167
Keep dividing by the next highest number until you cannot divide anymore.

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

113191272477431,6512,4139,65914,11731,36994,361183,5211,226,6931,792,85923,307,167
-1-13-19-127-247-743-1,651-2,413-9,659-14,117-31,369-94,361-183,521-1,226,693-1,792,859-23,307,167

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