Q: What are the factor combinations of the number 240,626,449?

 A:
Positive:   1 x 2406264497 x 3437520717 x 14154497119 x 20220711213 x 1983731667 x 1443478491 x 2833911669 x 20621
Negative: -1 x -240626449-7 x -34375207-17 x -14154497-119 x -2022071-1213 x -198373-1667 x -144347-8491 x -28339-11669 x -20621


How do I find the factor combinations of the number 240,626,449?

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 240,626,449, 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.

1 240,626,449
-1 -240,626,449

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 240,626,449.

Example:
1 x 240,626,449 = 240,626,449
and
-1 x -240,626,449 = 240,626,449
Notice both answers equal 240,626,449

With that explanation out of the way, let's continue. Next, we take the number 240,626,449 and divide it by 2:

240,626,449 ÷ 2 = 120,313,224.5

If the quotient is a whole number, then 2 and 120,313,224.5 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:

1 240,626,449
-1 -240,626,449

Now, we try dividing 240,626,449 by 3:

240,626,449 ÷ 3 = 80,208,816.3333

If the quotient is a whole number, then 3 and 80,208,816.3333 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:

1 240,626,449
-1 -240,626,449

Let's try dividing by 4:

240,626,449 ÷ 4 = 60,156,612.25

If the quotient is a whole number, then 4 and 60,156,612.25 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:

1 240,626,449
-1 240,626,449
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191,2131,6678,49111,66920,62128,339144,347198,3732,022,07114,154,49734,375,207240,626,449
-1-7-17-119-1,213-1,667-8,491-11,669-20,621-28,339-144,347-198,373-2,022,071-14,154,497-34,375,207-240,626,449

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