Q: What are the factor combinations of the number 24,233,405?

 A:
Positive:   1 x 242334055 x 48466817 x 346191535 x 692383239 x 1013951195 x 202791673 x 144852897 x 8365
Negative: -1 x -24233405-5 x -4846681-7 x -3461915-35 x -692383-239 x -101395-1195 x -20279-1673 x -14485-2897 x -8365


How do I find the factor combinations of the number 24,233,405?

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 24,233,405, 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 24,233,405
-1 -24,233,405

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 24,233,405.

Example:
1 x 24,233,405 = 24,233,405
and
-1 x -24,233,405 = 24,233,405
Notice both answers equal 24,233,405

With that explanation out of the way, let's continue. Next, we take the number 24,233,405 and divide it by 2:

24,233,405 ÷ 2 = 12,116,702.5

If the quotient is a whole number, then 2 and 12,116,702.5 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 24,233,405
-1 -24,233,405

Now, we try dividing 24,233,405 by 3:

24,233,405 ÷ 3 = 8,077,801.6667

If the quotient is a whole number, then 3 and 8,077,801.6667 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 24,233,405
-1 -24,233,405

Let's try dividing by 4:

24,233,405 ÷ 4 = 6,058,351.25

If the quotient is a whole number, then 4 and 6,058,351.25 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 24,233,405
-1 24,233,405
Keep dividing by the next highest number until you cannot divide anymore.

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

157352391,1951,6732,8978,36514,48520,279101,395692,3833,461,9154,846,68124,233,405
-1-5-7-35-239-1,195-1,673-2,897-8,365-14,485-20,279-101,395-692,383-3,461,915-4,846,681-24,233,405

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