Q: What are the factor combinations of the number 4,502,449?

 A:
Positive:   1 x 45024497 x 64320719 x 23697197 x 46417133 x 33853349 x 12901679 x 66311843 x 2443
Negative: -1 x -4502449-7 x -643207-19 x -236971-97 x -46417-133 x -33853-349 x -12901-679 x -6631-1843 x -2443


How do I find the factor combinations of the number 4,502,449?

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 4,502,449, 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 4,502,449
-1 -4,502,449

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 4,502,449.

Example:
1 x 4,502,449 = 4,502,449
and
-1 x -4,502,449 = 4,502,449
Notice both answers equal 4,502,449

With that explanation out of the way, let's continue. Next, we take the number 4,502,449 and divide it by 2:

4,502,449 ÷ 2 = 2,251,224.5

If the quotient is a whole number, then 2 and 2,251,224.5 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 4,502,449
-1 -4,502,449

Now, we try dividing 4,502,449 by 3:

4,502,449 ÷ 3 = 1,500,816.3333

If the quotient is a whole number, then 3 and 1,500,816.3333 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 4,502,449
-1 -4,502,449

Let's try dividing by 4:

4,502,449 ÷ 4 = 1,125,612.25

If the quotient is a whole number, then 4 and 1,125,612.25 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 4,502,449
-1 4,502,449
Keep dividing by the next highest number until you cannot divide anymore.

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

1719971333496791,8432,4436,63112,90133,85346,417236,971643,2074,502,449
-1-7-19-97-133-349-679-1,843-2,443-6,631-12,901-33,853-46,417-236,971-643,207-4,502,449

More Examples

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