Q: What are the factor combinations of the number 752,063,155?

 A:
Positive:   1 x 7520631555 x 15041263173 x 10302235365 x 2060447
Negative: -1 x -752063155-5 x -150412631-73 x -10302235-365 x -2060447


How do I find the factor combinations of the number 752,063,155?

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 752,063,155, 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.

1 752,063,155
-1 -752,063,155

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 752,063,155.

Example:
1 x 752,063,155 = 752,063,155
and
-1 x -752,063,155 = 752,063,155
Notice both answers equal 752,063,155

With that explanation out of the way, let's continue. Next, we take the number 752,063,155 and divide it by 2:

752,063,155 ÷ 2 = 376,031,577.5

If the quotient is a whole number, then 2 and 376,031,577.5 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:

1 752,063,155
-1 -752,063,155

Now, we try dividing 752,063,155 by 3:

752,063,155 ÷ 3 = 250,687,718.3333

If the quotient is a whole number, then 3 and 250,687,718.3333 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:

1 752,063,155
-1 -752,063,155

Let's try dividing by 4:

752,063,155 ÷ 4 = 188,015,788.75

If the quotient is a whole number, then 4 and 188,015,788.75 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:

1 752,063,155
-1 752,063,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15733652,060,44710,302,235150,412,631752,063,155
-1-5-73-365-2,060,447-10,302,235-150,412,631-752,063,155

More Examples

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