Q: What are the factor combinations of the number 23,389,901?

 A:
Positive:   1 x 2338990159 x 39643961 x 38344167 x 34910397 x 2411333599 x 64993953 x 59174087 x 5723
Negative: -1 x -23389901-59 x -396439-61 x -383441-67 x -349103-97 x -241133-3599 x -6499-3953 x -5917-4087 x -5723


How do I find the factor combinations of the number 23,389,901?

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 23,389,901, 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 23,389,901
-1 -23,389,901

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 23,389,901.

Example:
1 x 23,389,901 = 23,389,901
and
-1 x -23,389,901 = 23,389,901
Notice both answers equal 23,389,901

With that explanation out of the way, let's continue. Next, we take the number 23,389,901 and divide it by 2:

23,389,901 ÷ 2 = 11,694,950.5

If the quotient is a whole number, then 2 and 11,694,950.5 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 23,389,901
-1 -23,389,901

Now, we try dividing 23,389,901 by 3:

23,389,901 ÷ 3 = 7,796,633.6667

If the quotient is a whole number, then 3 and 7,796,633.6667 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 23,389,901
-1 -23,389,901

Let's try dividing by 4:

23,389,901 ÷ 4 = 5,847,475.25

If the quotient is a whole number, then 4 and 5,847,475.25 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 23,389,901
-1 23,389,901
Keep dividing by the next highest number until you cannot divide anymore.

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

1596167973,5993,9534,0875,7235,9176,499241,133349,103383,441396,43923,389,901
-1-59-61-67-97-3,599-3,953-4,087-5,723-5,917-6,499-241,133-349,103-383,441-396,439-23,389,901

More Examples

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