Q: What are the factor combinations of the number 24,760,007?

 A:
Positive:   1 x 2476000717 x 1456471733 x 337791987 x 12461
Negative: -1 x -24760007-17 x -1456471-733 x -33779-1987 x -12461


How do I find the factor combinations of the number 24,760,007?

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 24,760,007, 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 24,760,007
-1 -24,760,007

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 24,760,007.

Example:
1 x 24,760,007 = 24,760,007
and
-1 x -24,760,007 = 24,760,007
Notice both answers equal 24,760,007

With that explanation out of the way, let's continue. Next, we take the number 24,760,007 and divide it by 2:

24,760,007 ÷ 2 = 12,380,003.5

If the quotient is a whole number, then 2 and 12,380,003.5 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 24,760,007
-1 -24,760,007

Now, we try dividing 24,760,007 by 3:

24,760,007 ÷ 3 = 8,253,335.6667

If the quotient is a whole number, then 3 and 8,253,335.6667 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 24,760,007
-1 -24,760,007

Let's try dividing by 4:

24,760,007 ÷ 4 = 6,190,001.75

If the quotient is a whole number, then 4 and 6,190,001.75 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 24,760,007
-1 24,760,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1177331,98712,46133,7791,456,47124,760,007
-1-17-733-1,987-12,461-33,779-1,456,471-24,760,007

More Examples

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