Q: What are the factor combinations of the number 240,433,513?

 A:
Positive:   1 x 24043351323 x 1045363161 x 3941533409 x 587857419 x 5738271403 x 1713719407 x 255599637 x 24949
Negative: -1 x -240433513-23 x -10453631-61 x -3941533-409 x -587857-419 x -573827-1403 x -171371-9407 x -25559-9637 x -24949


How do I find the factor combinations of the number 240,433,513?

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 240,433,513, 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.

1 240,433,513
-1 -240,433,513

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 240,433,513.

Example:
1 x 240,433,513 = 240,433,513
and
-1 x -240,433,513 = 240,433,513
Notice both answers equal 240,433,513

With that explanation out of the way, let's continue. Next, we take the number 240,433,513 and divide it by 2:

240,433,513 ÷ 2 = 120,216,756.5

If the quotient is a whole number, then 2 and 120,216,756.5 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:

1 240,433,513
-1 -240,433,513

Now, we try dividing 240,433,513 by 3:

240,433,513 ÷ 3 = 80,144,504.3333

If the quotient is a whole number, then 3 and 80,144,504.3333 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:

1 240,433,513
-1 -240,433,513

Let's try dividing by 4:

240,433,513 ÷ 4 = 60,108,378.25

If the quotient is a whole number, then 4 and 60,108,378.25 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:

1 240,433,513
-1 240,433,513
Keep dividing by the next highest number until you cannot divide anymore.

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

123614094191,4039,4079,63724,94925,559171,371573,827587,8573,941,53310,453,631240,433,513
-1-23-61-409-419-1,403-9,407-9,637-24,949-25,559-171,371-573,827-587,857-3,941,533-10,453,631-240,433,513

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