Q: What are the factor combinations of the number 247,670,315?

 A:
Positive:   1 x 2476703155 x 4953406331 x 7989365155 x 1597873
Negative: -1 x -247670315-5 x -49534063-31 x -7989365-155 x -1597873


How do I find the factor combinations of the number 247,670,315?

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 247,670,315, 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.

1 247,670,315
-1 -247,670,315

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 247,670,315.

Example:
1 x 247,670,315 = 247,670,315
and
-1 x -247,670,315 = 247,670,315
Notice both answers equal 247,670,315

With that explanation out of the way, let's continue. Next, we take the number 247,670,315 and divide it by 2:

247,670,315 ÷ 2 = 123,835,157.5

If the quotient is a whole number, then 2 and 123,835,157.5 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:

1 247,670,315
-1 -247,670,315

Now, we try dividing 247,670,315 by 3:

247,670,315 ÷ 3 = 82,556,771.6667

If the quotient is a whole number, then 3 and 82,556,771.6667 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:

1 247,670,315
-1 -247,670,315

Let's try dividing by 4:

247,670,315 ÷ 4 = 61,917,578.75

If the quotient is a whole number, then 4 and 61,917,578.75 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:

1 247,670,315
-1 247,670,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551,597,8737,989,36549,534,063247,670,315
-1-5-31-155-1,597,873-7,989,365-49,534,063-247,670,315

More Examples

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