Q: What are the factor combinations of the number 24,664,625?

 A:
Positive:   1 x 246646255 x 493292523 x 107237525 x 986585115 x 214475125 x 197317373 x 66125529 x 46625575 x 428951865 x 132252645 x 93252875 x 8579
Negative: -1 x -24664625-5 x -4932925-23 x -1072375-25 x -986585-115 x -214475-125 x -197317-373 x -66125-529 x -46625-575 x -42895-1865 x -13225-2645 x -9325-2875 x -8579


How do I find the factor combinations of the number 24,664,625?

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 24,664,625, 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 24,664,625
-1 -24,664,625

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 24,664,625.

Example:
1 x 24,664,625 = 24,664,625
and
-1 x -24,664,625 = 24,664,625
Notice both answers equal 24,664,625

With that explanation out of the way, let's continue. Next, we take the number 24,664,625 and divide it by 2:

24,664,625 ÷ 2 = 12,332,312.5

If the quotient is a whole number, then 2 and 12,332,312.5 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 24,664,625
-1 -24,664,625

Now, we try dividing 24,664,625 by 3:

24,664,625 ÷ 3 = 8,221,541.6667

If the quotient is a whole number, then 3 and 8,221,541.6667 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 24,664,625
-1 -24,664,625

Let's try dividing by 4:

24,664,625 ÷ 4 = 6,166,156.25

If the quotient is a whole number, then 4 and 6,166,156.25 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 24,664,625
-1 24,664,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151253735295751,8652,6452,8758,5799,32513,22542,89546,62566,125197,317214,475986,5851,072,3754,932,92524,664,625
-1-5-23-25-115-125-373-529-575-1,865-2,645-2,875-8,579-9,325-13,225-42,895-46,625-66,125-197,317-214,475-986,585-1,072,375-4,932,925-24,664,625

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