Q: What are the factor combinations of the number 24,020,405?

 A:
Positive:   1 x 240204055 x 480408117 x 141296585 x 282593461 x 52105613 x 391852305 x 104213065 x 7837
Negative: -1 x -24020405-5 x -4804081-17 x -1412965-85 x -282593-461 x -52105-613 x -39185-2305 x -10421-3065 x -7837


How do I find the factor combinations of the number 24,020,405?

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 24,020,405, 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 24,020,405
-1 -24,020,405

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 24,020,405.

Example:
1 x 24,020,405 = 24,020,405
and
-1 x -24,020,405 = 24,020,405
Notice both answers equal 24,020,405

With that explanation out of the way, let's continue. Next, we take the number 24,020,405 and divide it by 2:

24,020,405 ÷ 2 = 12,010,202.5

If the quotient is a whole number, then 2 and 12,010,202.5 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 24,020,405
-1 -24,020,405

Now, we try dividing 24,020,405 by 3:

24,020,405 ÷ 3 = 8,006,801.6667

If the quotient is a whole number, then 3 and 8,006,801.6667 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 24,020,405
-1 -24,020,405

Let's try dividing by 4:

24,020,405 ÷ 4 = 6,005,101.25

If the quotient is a whole number, then 4 and 6,005,101.25 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 24,020,405
-1 24,020,405
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854616132,3053,0657,83710,42139,18552,105282,5931,412,9654,804,08124,020,405
-1-5-17-85-461-613-2,305-3,065-7,837-10,421-39,185-52,105-282,593-1,412,965-4,804,081-24,020,405

More Examples

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