Q: What are the factor combinations of the number 23,671,165?

 A:
Positive:   1 x 236711655 x 47342337 x 338159535 x 67631949 x 48308579 x 299635245 x 96617395 x 59927553 x 428051223 x 193552765 x 85613871 x 6115
Negative: -1 x -23671165-5 x -4734233-7 x -3381595-35 x -676319-49 x -483085-79 x -299635-245 x -96617-395 x -59927-553 x -42805-1223 x -19355-2765 x -8561-3871 x -6115


How do I find the factor combinations of the number 23,671,165?

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 23,671,165, 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 23,671,165
-1 -23,671,165

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 23,671,165.

Example:
1 x 23,671,165 = 23,671,165
and
-1 x -23,671,165 = 23,671,165
Notice both answers equal 23,671,165

With that explanation out of the way, let's continue. Next, we take the number 23,671,165 and divide it by 2:

23,671,165 ÷ 2 = 11,835,582.5

If the quotient is a whole number, then 2 and 11,835,582.5 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 23,671,165
-1 -23,671,165

Now, we try dividing 23,671,165 by 3:

23,671,165 ÷ 3 = 7,890,388.3333

If the quotient is a whole number, then 3 and 7,890,388.3333 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 23,671,165
-1 -23,671,165

Let's try dividing by 4:

23,671,165 ÷ 4 = 5,917,791.25

If the quotient is a whole number, then 4 and 5,917,791.25 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 23,671,165
-1 23,671,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549792453955531,2232,7653,8716,1158,56119,35542,80559,92796,617299,635483,085676,3193,381,5954,734,23323,671,165
-1-5-7-35-49-79-245-395-553-1,223-2,765-3,871-6,115-8,561-19,355-42,805-59,927-96,617-299,635-483,085-676,319-3,381,595-4,734,233-23,671,165

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