Q: What are the factor combinations of the number 240,434,335?

 A:
Positive:   1 x 2404343355 x 48086867293 x 820595337 x 713455487 x 4937051465 x 1641191685 x 1426912435 x 98741
Negative: -1 x -240434335-5 x -48086867-293 x -820595-337 x -713455-487 x -493705-1465 x -164119-1685 x -142691-2435 x -98741


How do I find the factor combinations of the number 240,434,335?

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 240,434,335, 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.

1 240,434,335
-1 -240,434,335

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 240,434,335.

Example:
1 x 240,434,335 = 240,434,335
and
-1 x -240,434,335 = 240,434,335
Notice both answers equal 240,434,335

With that explanation out of the way, let's continue. Next, we take the number 240,434,335 and divide it by 2:

240,434,335 ÷ 2 = 120,217,167.5

If the quotient is a whole number, then 2 and 120,217,167.5 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:

1 240,434,335
-1 -240,434,335

Now, we try dividing 240,434,335 by 3:

240,434,335 ÷ 3 = 80,144,778.3333

If the quotient is a whole number, then 3 and 80,144,778.3333 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:

1 240,434,335
-1 -240,434,335

Let's try dividing by 4:

240,434,335 ÷ 4 = 60,108,583.75

If the quotient is a whole number, then 4 and 60,108,583.75 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:

1 240,434,335
-1 240,434,335
Keep dividing by the next highest number until you cannot divide anymore.

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

152933374871,4651,6852,43598,741142,691164,119493,705713,455820,59548,086,867240,434,335
-1-5-293-337-487-1,465-1,685-2,435-98,741-142,691-164,119-493,705-713,455-820,595-48,086,867-240,434,335

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