Q: What are the factor combinations of the number 23,042,905?

 A:
Positive:   1 x 230429055 x 460858117 x 135546585 x 271093419 x 54995647 x 356152095 x 109993235 x 7123
Negative: -1 x -23042905-5 x -4608581-17 x -1355465-85 x -271093-419 x -54995-647 x -35615-2095 x -10999-3235 x -7123


How do I find the factor combinations of the number 23,042,905?

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 23,042,905, 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 23,042,905
-1 -23,042,905

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 23,042,905.

Example:
1 x 23,042,905 = 23,042,905
and
-1 x -23,042,905 = 23,042,905
Notice both answers equal 23,042,905

With that explanation out of the way, let's continue. Next, we take the number 23,042,905 and divide it by 2:

23,042,905 ÷ 2 = 11,521,452.5

If the quotient is a whole number, then 2 and 11,521,452.5 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 23,042,905
-1 -23,042,905

Now, we try dividing 23,042,905 by 3:

23,042,905 ÷ 3 = 7,680,968.3333

If the quotient is a whole number, then 3 and 7,680,968.3333 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 23,042,905
-1 -23,042,905

Let's try dividing by 4:

23,042,905 ÷ 4 = 5,760,726.25

If the quotient is a whole number, then 4 and 5,760,726.25 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 23,042,905
-1 23,042,905
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854196472,0953,2357,12310,99935,61554,995271,0931,355,4654,608,58123,042,905
-1-5-17-85-419-647-2,095-3,235-7,123-10,999-35,615-54,995-271,093-1,355,465-4,608,581-23,042,905

More Examples

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