Q: What are the factor combinations of the number 47,253,269?

 A:
Positive:   1 x 472532697 x 675046731 x 152429971 x 665539217 x 217757497 x 950772201 x 214693067 x 15407
Negative: -1 x -47253269-7 x -6750467-31 x -1524299-71 x -665539-217 x -217757-497 x -95077-2201 x -21469-3067 x -15407


How do I find the factor combinations of the number 47,253,269?

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 47,253,269, 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 47,253,269
-1 -47,253,269

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 47,253,269.

Example:
1 x 47,253,269 = 47,253,269
and
-1 x -47,253,269 = 47,253,269
Notice both answers equal 47,253,269

With that explanation out of the way, let's continue. Next, we take the number 47,253,269 and divide it by 2:

47,253,269 ÷ 2 = 23,626,634.5

If the quotient is a whole number, then 2 and 23,626,634.5 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 47,253,269
-1 -47,253,269

Now, we try dividing 47,253,269 by 3:

47,253,269 ÷ 3 = 15,751,089.6667

If the quotient is a whole number, then 3 and 15,751,089.6667 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 47,253,269
-1 -47,253,269

Let's try dividing by 4:

47,253,269 ÷ 4 = 11,813,317.25

If the quotient is a whole number, then 4 and 11,813,317.25 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 47,253,269
-1 47,253,269
Keep dividing by the next highest number until you cannot divide anymore.

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

1731712174972,2013,06715,40721,46995,077217,757665,5391,524,2996,750,46747,253,269
-1-7-31-71-217-497-2,201-3,067-15,407-21,469-95,077-217,757-665,539-1,524,299-6,750,467-47,253,269

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