Q: What are the factor combinations of the number 240,740,513?

 A:
Positive:   1 x 24074051313 x 1851850129 x 830139731 x 7765823377 x 638569403 x 597371899 x 26778711687 x 20599
Negative: -1 x -240740513-13 x -18518501-29 x -8301397-31 x -7765823-377 x -638569-403 x -597371-899 x -267787-11687 x -20599


How do I find the factor combinations of the number 240,740,513?

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 240,740,513, 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.

1 240,740,513
-1 -240,740,513

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 240,740,513.

Example:
1 x 240,740,513 = 240,740,513
and
-1 x -240,740,513 = 240,740,513
Notice both answers equal 240,740,513

With that explanation out of the way, let's continue. Next, we take the number 240,740,513 and divide it by 2:

240,740,513 ÷ 2 = 120,370,256.5

If the quotient is a whole number, then 2 and 120,370,256.5 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:

1 240,740,513
-1 -240,740,513

Now, we try dividing 240,740,513 by 3:

240,740,513 ÷ 3 = 80,246,837.6667

If the quotient is a whole number, then 3 and 80,246,837.6667 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:

1 240,740,513
-1 -240,740,513

Let's try dividing by 4:

240,740,513 ÷ 4 = 60,185,128.25

If the quotient is a whole number, then 4 and 60,185,128.25 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:

1 240,740,513
-1 240,740,513
Keep dividing by the next highest number until you cannot divide anymore.

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

113293137740389911,68720,599267,787597,371638,5697,765,8238,301,39718,518,501240,740,513
-1-13-29-31-377-403-899-11,687-20,599-267,787-597,371-638,569-7,765,823-8,301,397-18,518,501-240,740,513

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