Q: What are the factor combinations of the number 24,690,307?

 A:
Positive:   1 x 2469030717 x 1452371523 x 472092777 x 8891
Negative: -1 x -24690307-17 x -1452371-523 x -47209-2777 x -8891


How do I find the factor combinations of the number 24,690,307?

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 24,690,307, 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 24,690,307
-1 -24,690,307

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 24,690,307.

Example:
1 x 24,690,307 = 24,690,307
and
-1 x -24,690,307 = 24,690,307
Notice both answers equal 24,690,307

With that explanation out of the way, let's continue. Next, we take the number 24,690,307 and divide it by 2:

24,690,307 ÷ 2 = 12,345,153.5

If the quotient is a whole number, then 2 and 12,345,153.5 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 24,690,307
-1 -24,690,307

Now, we try dividing 24,690,307 by 3:

24,690,307 ÷ 3 = 8,230,102.3333

If the quotient is a whole number, then 3 and 8,230,102.3333 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 24,690,307
-1 -24,690,307

Let's try dividing by 4:

24,690,307 ÷ 4 = 6,172,576.75

If the quotient is a whole number, then 4 and 6,172,576.75 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 24,690,307
-1 24,690,307
Keep dividing by the next highest number until you cannot divide anymore.

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

1175232,7778,89147,2091,452,37124,690,307
-1-17-523-2,777-8,891-47,209-1,452,371-24,690,307

More Examples

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