Q: What are the factor combinations of the number 24,406,355?

 A:
Positive:   1 x 244063555 x 488127119 x 128454595 x 256909199 x 122645995 x 245291291 x 189053781 x 6455
Negative: -1 x -24406355-5 x -4881271-19 x -1284545-95 x -256909-199 x -122645-995 x -24529-1291 x -18905-3781 x -6455


How do I find the factor combinations of the number 24,406,355?

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 24,406,355, 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 24,406,355
-1 -24,406,355

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 24,406,355.

Example:
1 x 24,406,355 = 24,406,355
and
-1 x -24,406,355 = 24,406,355
Notice both answers equal 24,406,355

With that explanation out of the way, let's continue. Next, we take the number 24,406,355 and divide it by 2:

24,406,355 ÷ 2 = 12,203,177.5

If the quotient is a whole number, then 2 and 12,203,177.5 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 24,406,355
-1 -24,406,355

Now, we try dividing 24,406,355 by 3:

24,406,355 ÷ 3 = 8,135,451.6667

If the quotient is a whole number, then 3 and 8,135,451.6667 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 24,406,355
-1 -24,406,355

Let's try dividing by 4:

24,406,355 ÷ 4 = 6,101,588.75

If the quotient is a whole number, then 4 and 6,101,588.75 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 24,406,355
-1 24,406,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951999951,2913,7816,45518,90524,529122,645256,9091,284,5454,881,27124,406,355
-1-5-19-95-199-995-1,291-3,781-6,455-18,905-24,529-122,645-256,909-1,284,545-4,881,271-24,406,355

More Examples

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