Q: What are the factor combinations of the number 243,135,635?

 A:
Positive:   1 x 2431356355 x 4862712731 x 784308583 x 2929345155 x 1568617415 x 5858692573 x 9449512865 x 18899
Negative: -1 x -243135635-5 x -48627127-31 x -7843085-83 x -2929345-155 x -1568617-415 x -585869-2573 x -94495-12865 x -18899


How do I find the factor combinations of the number 243,135,635?

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 243,135,635, 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.

1 243,135,635
-1 -243,135,635

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 243,135,635.

Example:
1 x 243,135,635 = 243,135,635
and
-1 x -243,135,635 = 243,135,635
Notice both answers equal 243,135,635

With that explanation out of the way, let's continue. Next, we take the number 243,135,635 and divide it by 2:

243,135,635 ÷ 2 = 121,567,817.5

If the quotient is a whole number, then 2 and 121,567,817.5 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:

1 243,135,635
-1 -243,135,635

Now, we try dividing 243,135,635 by 3:

243,135,635 ÷ 3 = 81,045,211.6667

If the quotient is a whole number, then 3 and 81,045,211.6667 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:

1 243,135,635
-1 -243,135,635

Let's try dividing by 4:

243,135,635 ÷ 4 = 60,783,908.75

If the quotient is a whole number, then 4 and 60,783,908.75 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:

1 243,135,635
-1 243,135,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1531831554152,57312,86518,89994,495585,8691,568,6172,929,3457,843,08548,627,127243,135,635
-1-5-31-83-155-415-2,573-12,865-18,899-94,495-585,869-1,568,617-2,929,345-7,843,085-48,627,127-243,135,635

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