Q: What are the factor combinations of the number 24,204,215?

 A:
Positive:   1 x 242042155 x 48408437 x 345774535 x 691549131 x 184765655 x 36953917 x 263954585 x 5279
Negative: -1 x -24204215-5 x -4840843-7 x -3457745-35 x -691549-131 x -184765-655 x -36953-917 x -26395-4585 x -5279


How do I find the factor combinations of the number 24,204,215?

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 24,204,215, 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 24,204,215
-1 -24,204,215

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 24,204,215.

Example:
1 x 24,204,215 = 24,204,215
and
-1 x -24,204,215 = 24,204,215
Notice both answers equal 24,204,215

With that explanation out of the way, let's continue. Next, we take the number 24,204,215 and divide it by 2:

24,204,215 ÷ 2 = 12,102,107.5

If the quotient is a whole number, then 2 and 12,102,107.5 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 24,204,215
-1 -24,204,215

Now, we try dividing 24,204,215 by 3:

24,204,215 ÷ 3 = 8,068,071.6667

If the quotient is a whole number, then 3 and 8,068,071.6667 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 24,204,215
-1 -24,204,215

Let's try dividing by 4:

24,204,215 ÷ 4 = 6,051,053.75

If the quotient is a whole number, then 4 and 6,051,053.75 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 24,204,215
-1 24,204,215
Keep dividing by the next highest number until you cannot divide anymore.

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

157351316559174,5855,27926,39536,953184,765691,5493,457,7454,840,84324,204,215
-1-5-7-35-131-655-917-4,585-5,279-26,395-36,953-184,765-691,549-3,457,745-4,840,843-24,204,215

More Examples

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