Q: What are the factor combinations of the number 235,006,585?

 A:
Positive:   1 x 2350065855 x 4700131711 x 2136423555 x 4272847151 x 1556335755 x 3112671661 x 1414858305 x 28297
Negative: -1 x -235006585-5 x -47001317-11 x -21364235-55 x -4272847-151 x -1556335-755 x -311267-1661 x -141485-8305 x -28297


How do I find the factor combinations of the number 235,006,585?

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 235,006,585, 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.

1 235,006,585
-1 -235,006,585

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 235,006,585.

Example:
1 x 235,006,585 = 235,006,585
and
-1 x -235,006,585 = 235,006,585
Notice both answers equal 235,006,585

With that explanation out of the way, let's continue. Next, we take the number 235,006,585 and divide it by 2:

235,006,585 ÷ 2 = 117,503,292.5

If the quotient is a whole number, then 2 and 117,503,292.5 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:

1 235,006,585
-1 -235,006,585

Now, we try dividing 235,006,585 by 3:

235,006,585 ÷ 3 = 78,335,528.3333

If the quotient is a whole number, then 3 and 78,335,528.3333 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:

1 235,006,585
-1 -235,006,585

Let's try dividing by 4:

235,006,585 ÷ 4 = 58,751,646.25

If the quotient is a whole number, then 4 and 58,751,646.25 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:

1 235,006,585
-1 235,006,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551517551,6618,30528,297141,485311,2671,556,3354,272,84721,364,23547,001,317235,006,585
-1-5-11-55-151-755-1,661-8,305-28,297-141,485-311,267-1,556,335-4,272,847-21,364,235-47,001,317-235,006,585

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