Q: What are the factor combinations of the number 47,225,317?

 A:
Positive:   1 x 4722531719 x 248554341 x 1151837779 x 60623
Negative: -1 x -47225317-19 x -2485543-41 x -1151837-779 x -60623


How do I find the factor combinations of the number 47,225,317?

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 47,225,317, 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 47,225,317
-1 -47,225,317

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 47,225,317.

Example:
1 x 47,225,317 = 47,225,317
and
-1 x -47,225,317 = 47,225,317
Notice both answers equal 47,225,317

With that explanation out of the way, let's continue. Next, we take the number 47,225,317 and divide it by 2:

47,225,317 ÷ 2 = 23,612,658.5

If the quotient is a whole number, then 2 and 23,612,658.5 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 47,225,317
-1 -47,225,317

Now, we try dividing 47,225,317 by 3:

47,225,317 ÷ 3 = 15,741,772.3333

If the quotient is a whole number, then 3 and 15,741,772.3333 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 47,225,317
-1 -47,225,317

Let's try dividing by 4:

47,225,317 ÷ 4 = 11,806,329.25

If the quotient is a whole number, then 4 and 11,806,329.25 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 47,225,317
-1 47,225,317
Keep dividing by the next highest number until you cannot divide anymore.

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

1194177960,6231,151,8372,485,54347,225,317
-1-19-41-779-60,623-1,151,837-2,485,543-47,225,317

More Examples

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