Q: What are the factor combinations of the number 24,216,325?

 A:
Positive:   1 x 242163255 x 48432657 x 345947525 x 96865335 x 69189571 x 341075175 x 138379355 x 68215497 x 487251775 x 136431949 x 124252485 x 9745
Negative: -1 x -24216325-5 x -4843265-7 x -3459475-25 x -968653-35 x -691895-71 x -341075-175 x -138379-355 x -68215-497 x -48725-1775 x -13643-1949 x -12425-2485 x -9745


How do I find the factor combinations of the number 24,216,325?

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 24,216,325, 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 24,216,325
-1 -24,216,325

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 24,216,325.

Example:
1 x 24,216,325 = 24,216,325
and
-1 x -24,216,325 = 24,216,325
Notice both answers equal 24,216,325

With that explanation out of the way, let's continue. Next, we take the number 24,216,325 and divide it by 2:

24,216,325 ÷ 2 = 12,108,162.5

If the quotient is a whole number, then 2 and 12,108,162.5 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 24,216,325
-1 -24,216,325

Now, we try dividing 24,216,325 by 3:

24,216,325 ÷ 3 = 8,072,108.3333

If the quotient is a whole number, then 3 and 8,072,108.3333 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 24,216,325
-1 -24,216,325

Let's try dividing by 4:

24,216,325 ÷ 4 = 6,054,081.25

If the quotient is a whole number, then 4 and 6,054,081.25 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 24,216,325
-1 24,216,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535711753554971,7751,9492,4859,74512,42513,64348,72568,215138,379341,075691,895968,6533,459,4754,843,26524,216,325
-1-5-7-25-35-71-175-355-497-1,775-1,949-2,485-9,745-12,425-13,643-48,725-68,215-138,379-341,075-691,895-968,653-3,459,475-4,843,265-24,216,325

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