Q: What are the factor combinations of the number 707,547,335?

 A:
Positive:   1 x 7075473355 x 14150946711 x 6432248555 x 12864497421 x 16806352105 x 3361274631 x 15278523155 x 30557
Negative: -1 x -707547335-5 x -141509467-11 x -64322485-55 x -12864497-421 x -1680635-2105 x -336127-4631 x -152785-23155 x -30557


How do I find the factor combinations of the number 707,547,335?

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 707,547,335, 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.

1 707,547,335
-1 -707,547,335

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 707,547,335.

Example:
1 x 707,547,335 = 707,547,335
and
-1 x -707,547,335 = 707,547,335
Notice both answers equal 707,547,335

With that explanation out of the way, let's continue. Next, we take the number 707,547,335 and divide it by 2:

707,547,335 ÷ 2 = 353,773,667.5

If the quotient is a whole number, then 2 and 353,773,667.5 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:

1 707,547,335
-1 -707,547,335

Now, we try dividing 707,547,335 by 3:

707,547,335 ÷ 3 = 235,849,111.6667

If the quotient is a whole number, then 3 and 235,849,111.6667 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:

1 707,547,335
-1 -707,547,335

Let's try dividing by 4:

707,547,335 ÷ 4 = 176,886,833.75

If the quotient is a whole number, then 4 and 176,886,833.75 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:

1 707,547,335
-1 707,547,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554212,1054,63123,15530,557152,785336,1271,680,63512,864,49764,322,485141,509,467707,547,335
-1-5-11-55-421-2,105-4,631-23,155-30,557-152,785-336,127-1,680,635-12,864,497-64,322,485-141,509,467-707,547,335

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