Q: What are the factor combinations of the number 23,537,813?

 A:
Positive:   1 x 2353781313 x 181060141 x 57409343 x 54739179 x 297947169 x 139277533 x 44161559 x 421071027 x 229191763 x 133513239 x 72673397 x 6929
Negative: -1 x -23537813-13 x -1810601-41 x -574093-43 x -547391-79 x -297947-169 x -139277-533 x -44161-559 x -42107-1027 x -22919-1763 x -13351-3239 x -7267-3397 x -6929


How do I find the factor combinations of the number 23,537,813?

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 23,537,813, 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 23,537,813
-1 -23,537,813

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 23,537,813.

Example:
1 x 23,537,813 = 23,537,813
and
-1 x -23,537,813 = 23,537,813
Notice both answers equal 23,537,813

With that explanation out of the way, let's continue. Next, we take the number 23,537,813 and divide it by 2:

23,537,813 ÷ 2 = 11,768,906.5

If the quotient is a whole number, then 2 and 11,768,906.5 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 23,537,813
-1 -23,537,813

Now, we try dividing 23,537,813 by 3:

23,537,813 ÷ 3 = 7,845,937.6667

If the quotient is a whole number, then 3 and 7,845,937.6667 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 23,537,813
-1 -23,537,813

Let's try dividing by 4:

23,537,813 ÷ 4 = 5,884,453.25

If the quotient is a whole number, then 4 and 5,884,453.25 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 23,537,813
-1 23,537,813
Keep dividing by the next highest number until you cannot divide anymore.

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

1134143791695335591,0271,7633,2393,3976,9297,26713,35122,91942,10744,161139,277297,947547,391574,0931,810,60123,537,813
-1-13-41-43-79-169-533-559-1,027-1,763-3,239-3,397-6,929-7,267-13,351-22,919-42,107-44,161-139,277-297,947-547,391-574,093-1,810,601-23,537,813

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