Q: What are the factor combinations of the number 480,170,011?

 A:
Positive:   1 x 48017001123 x 208769572053 x 23388710169 x 47219
Negative: -1 x -480170011-23 x -20876957-2053 x -233887-10169 x -47219


How do I find the factor combinations of the number 480,170,011?

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 480,170,011, 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.

1 480,170,011
-1 -480,170,011

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 480,170,011.

Example:
1 x 480,170,011 = 480,170,011
and
-1 x -480,170,011 = 480,170,011
Notice both answers equal 480,170,011

With that explanation out of the way, let's continue. Next, we take the number 480,170,011 and divide it by 2:

480,170,011 ÷ 2 = 240,085,005.5

If the quotient is a whole number, then 2 and 240,085,005.5 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:

1 480,170,011
-1 -480,170,011

Now, we try dividing 480,170,011 by 3:

480,170,011 ÷ 3 = 160,056,670.3333

If the quotient is a whole number, then 3 and 160,056,670.3333 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:

1 480,170,011
-1 -480,170,011

Let's try dividing by 4:

480,170,011 ÷ 4 = 120,042,502.75

If the quotient is a whole number, then 4 and 120,042,502.75 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:

1 480,170,011
-1 480,170,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1232,05310,16947,219233,88720,876,957480,170,011
-1-23-2,053-10,169-47,219-233,887-20,876,957-480,170,011

More Examples

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