Q: What are the factor combinations of the number 24,440,425?

 A:
Positive:   1 x 244404255 x 488808525 x 977617647 x 377751511 x 161753235 x 7555
Negative: -1 x -24440425-5 x -4888085-25 x -977617-647 x -37775-1511 x -16175-3235 x -7555


How do I find the factor combinations of the number 24,440,425?

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 24,440,425, 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 24,440,425
-1 -24,440,425

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 24,440,425.

Example:
1 x 24,440,425 = 24,440,425
and
-1 x -24,440,425 = 24,440,425
Notice both answers equal 24,440,425

With that explanation out of the way, let's continue. Next, we take the number 24,440,425 and divide it by 2:

24,440,425 ÷ 2 = 12,220,212.5

If the quotient is a whole number, then 2 and 12,220,212.5 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 24,440,425
-1 -24,440,425

Now, we try dividing 24,440,425 by 3:

24,440,425 ÷ 3 = 8,146,808.3333

If the quotient is a whole number, then 3 and 8,146,808.3333 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 24,440,425
-1 -24,440,425

Let's try dividing by 4:

24,440,425 ÷ 4 = 6,110,106.25

If the quotient is a whole number, then 4 and 6,110,106.25 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 24,440,425
-1 24,440,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15256471,5113,2357,55516,17537,775977,6174,888,08524,440,425
-1-5-25-647-1,511-3,235-7,555-16,175-37,775-977,617-4,888,085-24,440,425

More Examples

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