Q: What are the factor combinations of the number 24,611,209?

 A:
Positive:   1 x 246112097 x 3515887859 x 286514093 x 6013
Negative: -1 x -24611209-7 x -3515887-859 x -28651-4093 x -6013


How do I find the factor combinations of the number 24,611,209?

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 24,611,209, 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 24,611,209
-1 -24,611,209

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 24,611,209.

Example:
1 x 24,611,209 = 24,611,209
and
-1 x -24,611,209 = 24,611,209
Notice both answers equal 24,611,209

With that explanation out of the way, let's continue. Next, we take the number 24,611,209 and divide it by 2:

24,611,209 ÷ 2 = 12,305,604.5

If the quotient is a whole number, then 2 and 12,305,604.5 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 24,611,209
-1 -24,611,209

Now, we try dividing 24,611,209 by 3:

24,611,209 ÷ 3 = 8,203,736.3333

If the quotient is a whole number, then 3 and 8,203,736.3333 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 24,611,209
-1 -24,611,209

Let's try dividing by 4:

24,611,209 ÷ 4 = 6,152,802.25

If the quotient is a whole number, then 4 and 6,152,802.25 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 24,611,209
-1 24,611,209
Keep dividing by the next highest number until you cannot divide anymore.

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

178594,0936,01328,6513,515,88724,611,209
-1-7-859-4,093-6,013-28,651-3,515,887-24,611,209

More Examples

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