Q: What are the factor combinations of the number 23,669,815?

 A:
Positive:   1 x 236698155 x 473396313 x 182075565 x 364151241 x 982151205 x 196431511 x 156653133 x 7555
Negative: -1 x -23669815-5 x -4733963-13 x -1820755-65 x -364151-241 x -98215-1205 x -19643-1511 x -15665-3133 x -7555


How do I find the factor combinations of the number 23,669,815?

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 23,669,815, 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 23,669,815
-1 -23,669,815

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 23,669,815.

Example:
1 x 23,669,815 = 23,669,815
and
-1 x -23,669,815 = 23,669,815
Notice both answers equal 23,669,815

With that explanation out of the way, let's continue. Next, we take the number 23,669,815 and divide it by 2:

23,669,815 ÷ 2 = 11,834,907.5

If the quotient is a whole number, then 2 and 11,834,907.5 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 23,669,815
-1 -23,669,815

Now, we try dividing 23,669,815 by 3:

23,669,815 ÷ 3 = 7,889,938.3333

If the quotient is a whole number, then 3 and 7,889,938.3333 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 23,669,815
-1 -23,669,815

Let's try dividing by 4:

23,669,815 ÷ 4 = 5,917,453.75

If the quotient is a whole number, then 4 and 5,917,453.75 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 23,669,815
-1 23,669,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652411,2051,5113,1337,55515,66519,64398,215364,1511,820,7554,733,96323,669,815
-1-5-13-65-241-1,205-1,511-3,133-7,555-15,665-19,643-98,215-364,151-1,820,755-4,733,963-23,669,815

More Examples

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