Q: What are the factor combinations of the number 24,773,959?

 A:
Positive:   1 x 247739597 x 353913749 x 50559171 x 348929497 x 498473479 x 7121
Negative: -1 x -24773959-7 x -3539137-49 x -505591-71 x -348929-497 x -49847-3479 x -7121


How do I find the factor combinations of the number 24,773,959?

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 24,773,959, 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 24,773,959
-1 -24,773,959

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 24,773,959.

Example:
1 x 24,773,959 = 24,773,959
and
-1 x -24,773,959 = 24,773,959
Notice both answers equal 24,773,959

With that explanation out of the way, let's continue. Next, we take the number 24,773,959 and divide it by 2:

24,773,959 ÷ 2 = 12,386,979.5

If the quotient is a whole number, then 2 and 12,386,979.5 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 24,773,959
-1 -24,773,959

Now, we try dividing 24,773,959 by 3:

24,773,959 ÷ 3 = 8,257,986.3333

If the quotient is a whole number, then 3 and 8,257,986.3333 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 24,773,959
-1 -24,773,959

Let's try dividing by 4:

24,773,959 ÷ 4 = 6,193,489.75

If the quotient is a whole number, then 4 and 6,193,489.75 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 24,773,959
-1 24,773,959
Keep dividing by the next highest number until you cannot divide anymore.

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

1749714973,4797,12149,847348,929505,5913,539,13724,773,959
-1-7-49-71-497-3,479-7,121-49,847-348,929-505,591-3,539,137-24,773,959

More Examples

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