Q: What are the factor combinations of the number 47,031,305?

 A:
Positive:   1 x 470313055 x 940626141 x 114710561 x 771005205 x 229421305 x 1542012501 x 188053761 x 12505
Negative: -1 x -47031305-5 x -9406261-41 x -1147105-61 x -771005-205 x -229421-305 x -154201-2501 x -18805-3761 x -12505


How do I find the factor combinations of the number 47,031,305?

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 47,031,305, 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 47,031,305
-1 -47,031,305

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 47,031,305.

Example:
1 x 47,031,305 = 47,031,305
and
-1 x -47,031,305 = 47,031,305
Notice both answers equal 47,031,305

With that explanation out of the way, let's continue. Next, we take the number 47,031,305 and divide it by 2:

47,031,305 ÷ 2 = 23,515,652.5

If the quotient is a whole number, then 2 and 23,515,652.5 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 47,031,305
-1 -47,031,305

Now, we try dividing 47,031,305 by 3:

47,031,305 ÷ 3 = 15,677,101.6667

If the quotient is a whole number, then 3 and 15,677,101.6667 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 47,031,305
-1 -47,031,305

Let's try dividing by 4:

47,031,305 ÷ 4 = 11,757,826.25

If the quotient is a whole number, then 4 and 11,757,826.25 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 47,031,305
-1 47,031,305
Keep dividing by the next highest number until you cannot divide anymore.

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

1541612053052,5013,76112,50518,805154,201229,421771,0051,147,1059,406,26147,031,305
-1-5-41-61-205-305-2,501-3,761-12,505-18,805-154,201-229,421-771,005-1,147,105-9,406,261-47,031,305

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