Q: What are the factor combinations of the number 23,307,425?

 A:
Positive:   1 x 233074255 x 466148517 x 137102525 x 93229785 x 274205173 x 134725317 x 73525425 x 54841865 x 269451585 x 147052941 x 79254325 x 5389
Negative: -1 x -23307425-5 x -4661485-17 x -1371025-25 x -932297-85 x -274205-173 x -134725-317 x -73525-425 x -54841-865 x -26945-1585 x -14705-2941 x -7925-4325 x -5389


How do I find the factor combinations of the number 23,307,425?

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 23,307,425, 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 23,307,425
-1 -23,307,425

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 23,307,425.

Example:
1 x 23,307,425 = 23,307,425
and
-1 x -23,307,425 = 23,307,425
Notice both answers equal 23,307,425

With that explanation out of the way, let's continue. Next, we take the number 23,307,425 and divide it by 2:

23,307,425 ÷ 2 = 11,653,712.5

If the quotient is a whole number, then 2 and 11,653,712.5 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 23,307,425
-1 -23,307,425

Now, we try dividing 23,307,425 by 3:

23,307,425 ÷ 3 = 7,769,141.6667

If the quotient is a whole number, then 3 and 7,769,141.6667 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 23,307,425
-1 -23,307,425

Let's try dividing by 4:

23,307,425 ÷ 4 = 5,826,856.25

If the quotient is a whole number, then 4 and 5,826,856.25 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 23,307,425
-1 23,307,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851733174258651,5852,9414,3255,3897,92514,70526,94554,84173,525134,725274,205932,2971,371,0254,661,48523,307,425
-1-5-17-25-85-173-317-425-865-1,585-2,941-4,325-5,389-7,925-14,705-26,945-54,841-73,525-134,725-274,205-932,297-1,371,025-4,661,485-23,307,425

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