Q: What are the factor combinations of the number 24,737,725?

 A:
Positive:   1 x 247377255 x 494754525 x 98950929 x 853025145 x 170605149 x 166025229 x 108025725 x 34121745 x 332051145 x 216053725 x 66414321 x 5725
Negative: -1 x -24737725-5 x -4947545-25 x -989509-29 x -853025-145 x -170605-149 x -166025-229 x -108025-725 x -34121-745 x -33205-1145 x -21605-3725 x -6641-4321 x -5725


How do I find the factor combinations of the number 24,737,725?

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 24,737,725, 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 24,737,725
-1 -24,737,725

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 24,737,725.

Example:
1 x 24,737,725 = 24,737,725
and
-1 x -24,737,725 = 24,737,725
Notice both answers equal 24,737,725

With that explanation out of the way, let's continue. Next, we take the number 24,737,725 and divide it by 2:

24,737,725 ÷ 2 = 12,368,862.5

If the quotient is a whole number, then 2 and 12,368,862.5 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 24,737,725
-1 -24,737,725

Now, we try dividing 24,737,725 by 3:

24,737,725 ÷ 3 = 8,245,908.3333

If the quotient is a whole number, then 3 and 8,245,908.3333 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 24,737,725
-1 -24,737,725

Let's try dividing by 4:

24,737,725 ÷ 4 = 6,184,431.25

If the quotient is a whole number, then 4 and 6,184,431.25 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 24,737,725
-1 24,737,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291451492297257451,1453,7254,3215,7256,64121,60533,20534,121108,025166,025170,605853,025989,5094,947,54524,737,725
-1-5-25-29-145-149-229-725-745-1,145-3,725-4,321-5,725-6,641-21,605-33,205-34,121-108,025-166,025-170,605-853,025-989,509-4,947,545-24,737,725

More Examples

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