Q: What are the factor combinations of the number 47,361,223?

 A:
Positive:   1 x 473612237 x 676588913 x 364317191 x 520453101 x 468923707 x 669891313 x 360715153 x 9191
Negative: -1 x -47361223-7 x -6765889-13 x -3643171-91 x -520453-101 x -468923-707 x -66989-1313 x -36071-5153 x -9191


How do I find the factor combinations of the number 47,361,223?

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 47,361,223, 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 47,361,223
-1 -47,361,223

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 47,361,223.

Example:
1 x 47,361,223 = 47,361,223
and
-1 x -47,361,223 = 47,361,223
Notice both answers equal 47,361,223

With that explanation out of the way, let's continue. Next, we take the number 47,361,223 and divide it by 2:

47,361,223 ÷ 2 = 23,680,611.5

If the quotient is a whole number, then 2 and 23,680,611.5 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 47,361,223
-1 -47,361,223

Now, we try dividing 47,361,223 by 3:

47,361,223 ÷ 3 = 15,787,074.3333

If the quotient is a whole number, then 3 and 15,787,074.3333 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 47,361,223
-1 -47,361,223

Let's try dividing by 4:

47,361,223 ÷ 4 = 11,840,305.75

If the quotient is a whole number, then 4 and 11,840,305.75 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 47,361,223
-1 47,361,223
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911017071,3135,1539,19136,07166,989468,923520,4533,643,1716,765,88947,361,223
-1-7-13-91-101-707-1,313-5,153-9,191-36,071-66,989-468,923-520,453-3,643,171-6,765,889-47,361,223

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