Q: What are the factor combinations of the number 24,683,869?

 A:
Positive:   1 x 246838697 x 352626719 x 1299151133 x 185593
Negative: -1 x -24683869-7 x -3526267-19 x -1299151-133 x -185593


How do I find the factor combinations of the number 24,683,869?

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 24,683,869, 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 24,683,869
-1 -24,683,869

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 24,683,869.

Example:
1 x 24,683,869 = 24,683,869
and
-1 x -24,683,869 = 24,683,869
Notice both answers equal 24,683,869

With that explanation out of the way, let's continue. Next, we take the number 24,683,869 and divide it by 2:

24,683,869 ÷ 2 = 12,341,934.5

If the quotient is a whole number, then 2 and 12,341,934.5 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 24,683,869
-1 -24,683,869

Now, we try dividing 24,683,869 by 3:

24,683,869 ÷ 3 = 8,227,956.3333

If the quotient is a whole number, then 3 and 8,227,956.3333 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 24,683,869
-1 -24,683,869

Let's try dividing by 4:

24,683,869 ÷ 4 = 6,170,967.25

If the quotient is a whole number, then 4 and 6,170,967.25 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 24,683,869
-1 24,683,869
Keep dividing by the next highest number until you cannot divide anymore.

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

1719133185,5931,299,1513,526,26724,683,869
-1-7-19-133-185,593-1,299,151-3,526,267-24,683,869

More Examples

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