Q: What are the factor combinations of the number 24,333,625?

 A:
Positive:   1 x 243336255 x 486672525 x 97334553 x 459125125 x 194669265 x 918251325 x 183653673 x 6625
Negative: -1 x -24333625-5 x -4866725-25 x -973345-53 x -459125-125 x -194669-265 x -91825-1325 x -18365-3673 x -6625


How do I find the factor combinations of the number 24,333,625?

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 24,333,625, 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 24,333,625
-1 -24,333,625

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 24,333,625.

Example:
1 x 24,333,625 = 24,333,625
and
-1 x -24,333,625 = 24,333,625
Notice both answers equal 24,333,625

With that explanation out of the way, let's continue. Next, we take the number 24,333,625 and divide it by 2:

24,333,625 ÷ 2 = 12,166,812.5

If the quotient is a whole number, then 2 and 12,166,812.5 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 24,333,625
-1 -24,333,625

Now, we try dividing 24,333,625 by 3:

24,333,625 ÷ 3 = 8,111,208.3333

If the quotient is a whole number, then 3 and 8,111,208.3333 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 24,333,625
-1 -24,333,625

Let's try dividing by 4:

24,333,625 ÷ 4 = 6,083,406.25

If the quotient is a whole number, then 4 and 6,083,406.25 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 24,333,625
-1 24,333,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3253,6736,62518,36591,825194,669459,125973,3454,866,72524,333,625
-1-5-25-53-125-265-1,325-3,673-6,625-18,365-91,825-194,669-459,125-973,345-4,866,725-24,333,625

More Examples

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