Q: What are the factor combinations of the number 23,893,987?

 A:
Positive:   1 x 2389398713 x 183799923 x 1038869157 x 152191299 x 79913509 x 469432041 x 117073611 x 6617
Negative: -1 x -23893987-13 x -1837999-23 x -1038869-157 x -152191-299 x -79913-509 x -46943-2041 x -11707-3611 x -6617


How do I find the factor combinations of the number 23,893,987?

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 23,893,987, 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 23,893,987
-1 -23,893,987

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 23,893,987.

Example:
1 x 23,893,987 = 23,893,987
and
-1 x -23,893,987 = 23,893,987
Notice both answers equal 23,893,987

With that explanation out of the way, let's continue. Next, we take the number 23,893,987 and divide it by 2:

23,893,987 ÷ 2 = 11,946,993.5

If the quotient is a whole number, then 2 and 11,946,993.5 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 23,893,987
-1 -23,893,987

Now, we try dividing 23,893,987 by 3:

23,893,987 ÷ 3 = 7,964,662.3333

If the quotient is a whole number, then 3 and 7,964,662.3333 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 23,893,987
-1 -23,893,987

Let's try dividing by 4:

23,893,987 ÷ 4 = 5,973,496.75

If the quotient is a whole number, then 4 and 5,973,496.75 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 23,893,987
-1 23,893,987
Keep dividing by the next highest number until you cannot divide anymore.

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

113231572995092,0413,6116,61711,70746,94379,913152,1911,038,8691,837,99923,893,987
-1-13-23-157-299-509-2,041-3,611-6,617-11,707-46,943-79,913-152,191-1,038,869-1,837,999-23,893,987

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