Q: What are the factor combinations of the number 3,025,009?

 A:
Positive:   1 x 302500913 x 23269319 x 15921137 x 81757247 x 12247331 x 9139481 x 6289703 x 4303
Negative: -1 x -3025009-13 x -232693-19 x -159211-37 x -81757-247 x -12247-331 x -9139-481 x -6289-703 x -4303


How do I find the factor combinations of the number 3,025,009?

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 3,025,009, 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 3,025,009
-1 -3,025,009

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 3,025,009.

Example:
1 x 3,025,009 = 3,025,009
and
-1 x -3,025,009 = 3,025,009
Notice both answers equal 3,025,009

With that explanation out of the way, let's continue. Next, we take the number 3,025,009 and divide it by 2:

3,025,009 ÷ 2 = 1,512,504.5

If the quotient is a whole number, then 2 and 1,512,504.5 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 3,025,009
-1 -3,025,009

Now, we try dividing 3,025,009 by 3:

3,025,009 ÷ 3 = 1,008,336.3333

If the quotient is a whole number, then 3 and 1,008,336.3333 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 3,025,009
-1 -3,025,009

Let's try dividing by 4:

3,025,009 ÷ 4 = 756,252.25

If the quotient is a whole number, then 4 and 756,252.25 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 3,025,009
-1 3,025,009
Keep dividing by the next highest number until you cannot divide anymore.

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

11319372473314817034,3036,2899,13912,24781,757159,211232,6933,025,009
-1-13-19-37-247-331-481-703-4,303-6,289-9,139-12,247-81,757-159,211-232,693-3,025,009

More Examples

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