Q: What are the factor combinations of the number 24,747,499?

 A:
Positive:   1 x 247474997 x 353535749 x 505051
Negative: -1 x -24747499-7 x -3535357-49 x -505051


How do I find the factor combinations of the number 24,747,499?

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 24,747,499, 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 24,747,499
-1 -24,747,499

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 24,747,499.

Example:
1 x 24,747,499 = 24,747,499
and
-1 x -24,747,499 = 24,747,499
Notice both answers equal 24,747,499

With that explanation out of the way, let's continue. Next, we take the number 24,747,499 and divide it by 2:

24,747,499 ÷ 2 = 12,373,749.5

If the quotient is a whole number, then 2 and 12,373,749.5 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 24,747,499
-1 -24,747,499

Now, we try dividing 24,747,499 by 3:

24,747,499 ÷ 3 = 8,249,166.3333

If the quotient is a whole number, then 3 and 8,249,166.3333 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 24,747,499
-1 -24,747,499

Let's try dividing by 4:

24,747,499 ÷ 4 = 6,186,874.75

If the quotient is a whole number, then 4 and 6,186,874.75 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 24,747,499
-1 24,747,499
Keep dividing by the next highest number until you cannot divide anymore.

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

1749505,0513,535,35724,747,499
-1-7-49-505,051-3,535,357-24,747,499

More Examples

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