Q: What are the factor combinations of the number 47,121,341?

 A:
Positive:   1 x 4712134141 x 114930161 x 77248183 x 567727227 x 2075832501 x 188413403 x 138475063 x 9307
Negative: -1 x -47121341-41 x -1149301-61 x -772481-83 x -567727-227 x -207583-2501 x -18841-3403 x -13847-5063 x -9307


How do I find the factor combinations of the number 47,121,341?

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 47,121,341, 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 47,121,341
-1 -47,121,341

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 47,121,341.

Example:
1 x 47,121,341 = 47,121,341
and
-1 x -47,121,341 = 47,121,341
Notice both answers equal 47,121,341

With that explanation out of the way, let's continue. Next, we take the number 47,121,341 and divide it by 2:

47,121,341 ÷ 2 = 23,560,670.5

If the quotient is a whole number, then 2 and 23,560,670.5 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 47,121,341
-1 -47,121,341

Now, we try dividing 47,121,341 by 3:

47,121,341 ÷ 3 = 15,707,113.6667

If the quotient is a whole number, then 3 and 15,707,113.6667 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 47,121,341
-1 -47,121,341

Let's try dividing by 4:

47,121,341 ÷ 4 = 11,780,335.25

If the quotient is a whole number, then 4 and 11,780,335.25 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 47,121,341
-1 47,121,341
Keep dividing by the next highest number until you cannot divide anymore.

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

14161832272,5013,4035,0639,30713,84718,841207,583567,727772,4811,149,30147,121,341
-1-41-61-83-227-2,501-3,403-5,063-9,307-13,847-18,841-207,583-567,727-772,481-1,149,301-47,121,341

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