Q: What are the factor combinations of the number 24,321,325?

 A:
Positive:   1 x 243213255 x 48642657 x 347447525 x 97285335 x 69489547 x 517475175 x 138979235 x 103495329 x 739251175 x 206991645 x 147852957 x 8225
Negative: -1 x -24321325-5 x -4864265-7 x -3474475-25 x -972853-35 x -694895-47 x -517475-175 x -138979-235 x -103495-329 x -73925-1175 x -20699-1645 x -14785-2957 x -8225


How do I find the factor combinations of the number 24,321,325?

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 24,321,325, 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 24,321,325
-1 -24,321,325

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 24,321,325.

Example:
1 x 24,321,325 = 24,321,325
and
-1 x -24,321,325 = 24,321,325
Notice both answers equal 24,321,325

With that explanation out of the way, let's continue. Next, we take the number 24,321,325 and divide it by 2:

24,321,325 ÷ 2 = 12,160,662.5

If the quotient is a whole number, then 2 and 12,160,662.5 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 24,321,325
-1 -24,321,325

Now, we try dividing 24,321,325 by 3:

24,321,325 ÷ 3 = 8,107,108.3333

If the quotient is a whole number, then 3 and 8,107,108.3333 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 24,321,325
-1 -24,321,325

Let's try dividing by 4:

24,321,325 ÷ 4 = 6,080,331.25

If the quotient is a whole number, then 4 and 6,080,331.25 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 24,321,325
-1 24,321,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535471752353291,1751,6452,9578,22514,78520,69973,925103,495138,979517,475694,895972,8533,474,4754,864,26524,321,325
-1-5-7-25-35-47-175-235-329-1,175-1,645-2,957-8,225-14,785-20,699-73,925-103,495-138,979-517,475-694,895-972,853-3,474,475-4,864,265-24,321,325

More Examples

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