Q: What are the factor combinations of the number 24,104,135?

 A:
Positive:   1 x 241041355 x 482082711 x 219128553 x 45479555 x 438257265 x 90959583 x 413452915 x 8269
Negative: -1 x -24104135-5 x -4820827-11 x -2191285-53 x -454795-55 x -438257-265 x -90959-583 x -41345-2915 x -8269


How do I find the factor combinations of the number 24,104,135?

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 24,104,135, 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 24,104,135
-1 -24,104,135

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 24,104,135.

Example:
1 x 24,104,135 = 24,104,135
and
-1 x -24,104,135 = 24,104,135
Notice both answers equal 24,104,135

With that explanation out of the way, let's continue. Next, we take the number 24,104,135 and divide it by 2:

24,104,135 ÷ 2 = 12,052,067.5

If the quotient is a whole number, then 2 and 12,052,067.5 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 24,104,135
-1 -24,104,135

Now, we try dividing 24,104,135 by 3:

24,104,135 ÷ 3 = 8,034,711.6667

If the quotient is a whole number, then 3 and 8,034,711.6667 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 24,104,135
-1 -24,104,135

Let's try dividing by 4:

24,104,135 ÷ 4 = 6,026,033.75

If the quotient is a whole number, then 4 and 6,026,033.75 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 24,104,135
-1 24,104,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151153552655832,9158,26941,34590,959438,257454,7952,191,2854,820,82724,104,135
-1-5-11-53-55-265-583-2,915-8,269-41,345-90,959-438,257-454,795-2,191,285-4,820,827-24,104,135

More Examples

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