Q: What are the factor combinations of the number 350,256,887?

 A:
Positive:   1 x 35025688719 x 1843457343 x 8145509577 x 607031743 x 471409817 x 42871110963 x 3194914117 x 24811
Negative: -1 x -350256887-19 x -18434573-43 x -8145509-577 x -607031-743 x -471409-817 x -428711-10963 x -31949-14117 x -24811


How do I find the factor combinations of the number 350,256,887?

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 350,256,887, 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.

1 350,256,887
-1 -350,256,887

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 350,256,887.

Example:
1 x 350,256,887 = 350,256,887
and
-1 x -350,256,887 = 350,256,887
Notice both answers equal 350,256,887

With that explanation out of the way, let's continue. Next, we take the number 350,256,887 and divide it by 2:

350,256,887 ÷ 2 = 175,128,443.5

If the quotient is a whole number, then 2 and 175,128,443.5 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:

1 350,256,887
-1 -350,256,887

Now, we try dividing 350,256,887 by 3:

350,256,887 ÷ 3 = 116,752,295.6667

If the quotient is a whole number, then 3 and 116,752,295.6667 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:

1 350,256,887
-1 -350,256,887

Let's try dividing by 4:

350,256,887 ÷ 4 = 87,564,221.75

If the quotient is a whole number, then 4 and 87,564,221.75 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:

1 350,256,887
-1 350,256,887
Keep dividing by the next highest number until you cannot divide anymore.

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

1194357774381710,96314,11724,81131,949428,711471,409607,0318,145,50918,434,573350,256,887
-1-19-43-577-743-817-10,963-14,117-24,811-31,949-428,711-471,409-607,031-8,145,509-18,434,573-350,256,887

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