Q: What are the factor combinations of the number 47,001,005?

 A:
Positive:   1 x 470010055 x 940020117 x 276476585 x 552953251 x 1872551255 x 374512203 x 213354267 x 11015
Negative: -1 x -47001005-5 x -9400201-17 x -2764765-85 x -552953-251 x -187255-1255 x -37451-2203 x -21335-4267 x -11015


How do I find the factor combinations of the number 47,001,005?

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 47,001,005, 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 47,001,005
-1 -47,001,005

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 47,001,005.

Example:
1 x 47,001,005 = 47,001,005
and
-1 x -47,001,005 = 47,001,005
Notice both answers equal 47,001,005

With that explanation out of the way, let's continue. Next, we take the number 47,001,005 and divide it by 2:

47,001,005 ÷ 2 = 23,500,502.5

If the quotient is a whole number, then 2 and 23,500,502.5 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 47,001,005
-1 -47,001,005

Now, we try dividing 47,001,005 by 3:

47,001,005 ÷ 3 = 15,667,001.6667

If the quotient is a whole number, then 3 and 15,667,001.6667 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 47,001,005
-1 -47,001,005

Let's try dividing by 4:

47,001,005 ÷ 4 = 11,750,251.25

If the quotient is a whole number, then 4 and 11,750,251.25 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 47,001,005
-1 47,001,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852511,2552,2034,26711,01521,33537,451187,255552,9532,764,7659,400,20147,001,005
-1-5-17-85-251-1,255-2,203-4,267-11,015-21,335-37,451-187,255-552,953-2,764,765-9,400,201-47,001,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,001,005:


Ask a Question