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

 A:
Positive:   1 x 243553555 x 487107153 x 45953573 x 333635265 x 91907365 x 667271259 x 193453869 x 6295
Negative: -1 x -24355355-5 x -4871071-53 x -459535-73 x -333635-265 x -91907-365 x -66727-1259 x -19345-3869 x -6295


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

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

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 24,355,355.

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

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

24,355,355 ÷ 2 = 12,177,677.5

If the quotient is a whole number, then 2 and 12,177,677.5 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 24,355,355
-1 -24,355,355

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

24,355,355 ÷ 3 = 8,118,451.6667

If the quotient is a whole number, then 3 and 8,118,451.6667 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 24,355,355
-1 -24,355,355

Let's try dividing by 4:

24,355,355 ÷ 4 = 6,088,838.75

If the quotient is a whole number, then 4 and 6,088,838.75 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 24,355,355
-1 24,355,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1553732653651,2593,8696,29519,34566,72791,907333,635459,5354,871,07124,355,355
-1-5-53-73-265-365-1,259-3,869-6,295-19,345-66,727-91,907-333,635-459,535-4,871,071-24,355,355

More Examples

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