Q: What are the factor combinations of the number 24,499,865?

 A:
Positive:   1 x 244998655 x 489997313 x 188460565 x 376921
Negative: -1 x -24499865-5 x -4899973-13 x -1884605-65 x -376921


How do I find the factor combinations of the number 24,499,865?

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 24,499,865, 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 24,499,865
-1 -24,499,865

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 24,499,865.

Example:
1 x 24,499,865 = 24,499,865
and
-1 x -24,499,865 = 24,499,865
Notice both answers equal 24,499,865

With that explanation out of the way, let's continue. Next, we take the number 24,499,865 and divide it by 2:

24,499,865 ÷ 2 = 12,249,932.5

If the quotient is a whole number, then 2 and 12,249,932.5 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 24,499,865
-1 -24,499,865

Now, we try dividing 24,499,865 by 3:

24,499,865 ÷ 3 = 8,166,621.6667

If the quotient is a whole number, then 3 and 8,166,621.6667 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 24,499,865
-1 -24,499,865

Let's try dividing by 4:

24,499,865 ÷ 4 = 6,124,966.25

If the quotient is a whole number, then 4 and 6,124,966.25 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 24,499,865
-1 24,499,865
Keep dividing by the next highest number until you cannot divide anymore.

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

151365376,9211,884,6054,899,97324,499,865
-1-5-13-65-376,921-1,884,605-4,899,973-24,499,865

More Examples

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