Q: What are the factor combinations of the number 484,746,803?

 A:
Positive:   1 x 48474680329 x 167154071637 x 29611910211 x 47473
Negative: -1 x -484746803-29 x -16715407-1637 x -296119-10211 x -47473


How do I find the factor combinations of the number 484,746,803?

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 484,746,803, 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.

1 484,746,803
-1 -484,746,803

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 484,746,803.

Example:
1 x 484,746,803 = 484,746,803
and
-1 x -484,746,803 = 484,746,803
Notice both answers equal 484,746,803

With that explanation out of the way, let's continue. Next, we take the number 484,746,803 and divide it by 2:

484,746,803 ÷ 2 = 242,373,401.5

If the quotient is a whole number, then 2 and 242,373,401.5 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:

1 484,746,803
-1 -484,746,803

Now, we try dividing 484,746,803 by 3:

484,746,803 ÷ 3 = 161,582,267.6667

If the quotient is a whole number, then 3 and 161,582,267.6667 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:

1 484,746,803
-1 -484,746,803

Let's try dividing by 4:

484,746,803 ÷ 4 = 121,186,700.75

If the quotient is a whole number, then 4 and 121,186,700.75 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:

1 484,746,803
-1 484,746,803
Keep dividing by the next highest number until you cannot divide anymore.

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

1291,63710,21147,473296,11916,715,407484,746,803
-1-29-1,637-10,211-47,473-296,119-16,715,407-484,746,803

More Examples

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