Q: What are the factor combinations of the number 23,100,847?

 A:
Positive:   1 x 231008477 x 330012111 x 210007743 x 53722977 x 300011301 x 76747473 x 488393311 x 6977
Negative: -1 x -23100847-7 x -3300121-11 x -2100077-43 x -537229-77 x -300011-301 x -76747-473 x -48839-3311 x -6977


How do I find the factor combinations of the number 23,100,847?

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 23,100,847, 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 23,100,847
-1 -23,100,847

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 23,100,847.

Example:
1 x 23,100,847 = 23,100,847
and
-1 x -23,100,847 = 23,100,847
Notice both answers equal 23,100,847

With that explanation out of the way, let's continue. Next, we take the number 23,100,847 and divide it by 2:

23,100,847 ÷ 2 = 11,550,423.5

If the quotient is a whole number, then 2 and 11,550,423.5 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 23,100,847
-1 -23,100,847

Now, we try dividing 23,100,847 by 3:

23,100,847 ÷ 3 = 7,700,282.3333

If the quotient is a whole number, then 3 and 7,700,282.3333 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 23,100,847
-1 -23,100,847

Let's try dividing by 4:

23,100,847 ÷ 4 = 5,775,211.75

If the quotient is a whole number, then 4 and 5,775,211.75 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 23,100,847
-1 23,100,847
Keep dividing by the next highest number until you cannot divide anymore.

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

171143773014733,3116,97748,83976,747300,011537,2292,100,0773,300,12123,100,847
-1-7-11-43-77-301-473-3,311-6,977-48,839-76,747-300,011-537,229-2,100,077-3,300,121-23,100,847

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