Q: What are the factor combinations of the number 4,252,625?

 A:
Positive:   1 x 42526255 x 85052513 x 32712525 x 17010565 x 65425125 x 34021325 x 130851625 x 2617
Negative: -1 x -4252625-5 x -850525-13 x -327125-25 x -170105-65 x -65425-125 x -34021-325 x -13085-1625 x -2617


How do I find the factor combinations of the number 4,252,625?

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 4,252,625, 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 4,252,625
-1 -4,252,625

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 4,252,625.

Example:
1 x 4,252,625 = 4,252,625
and
-1 x -4,252,625 = 4,252,625
Notice both answers equal 4,252,625

With that explanation out of the way, let's continue. Next, we take the number 4,252,625 and divide it by 2:

4,252,625 ÷ 2 = 2,126,312.5

If the quotient is a whole number, then 2 and 2,126,312.5 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 4,252,625
-1 -4,252,625

Now, we try dividing 4,252,625 by 3:

4,252,625 ÷ 3 = 1,417,541.6667

If the quotient is a whole number, then 3 and 1,417,541.6667 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 4,252,625
-1 -4,252,625

Let's try dividing by 4:

4,252,625 ÷ 4 = 1,063,156.25

If the quotient is a whole number, then 4 and 1,063,156.25 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 4,252,625
-1 4,252,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,6252,61713,08534,02165,425170,105327,125850,5254,252,625
-1-5-13-25-65-125-325-1,625-2,617-13,085-34,021-65,425-170,105-327,125-850,525-4,252,625

More Examples

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