Q: What are the factor combinations of the number 31,386,467?

 A:
Positive:   1 x 313864677 x 448378123 x 1364629161 x 194947383 x 81949509 x 616632681 x 117073563 x 8809
Negative: -1 x -31386467-7 x -4483781-23 x -1364629-161 x -194947-383 x -81949-509 x -61663-2681 x -11707-3563 x -8809


How do I find the factor combinations of the number 31,386,467?

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 31,386,467, 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 31,386,467
-1 -31,386,467

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 31,386,467.

Example:
1 x 31,386,467 = 31,386,467
and
-1 x -31,386,467 = 31,386,467
Notice both answers equal 31,386,467

With that explanation out of the way, let's continue. Next, we take the number 31,386,467 and divide it by 2:

31,386,467 ÷ 2 = 15,693,233.5

If the quotient is a whole number, then 2 and 15,693,233.5 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 31,386,467
-1 -31,386,467

Now, we try dividing 31,386,467 by 3:

31,386,467 ÷ 3 = 10,462,155.6667

If the quotient is a whole number, then 3 and 10,462,155.6667 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 31,386,467
-1 -31,386,467

Let's try dividing by 4:

31,386,467 ÷ 4 = 7,846,616.75

If the quotient is a whole number, then 4 and 7,846,616.75 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 31,386,467
-1 31,386,467
Keep dividing by the next highest number until you cannot divide anymore.

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

17231613835092,6813,5638,80911,70761,66381,949194,9471,364,6294,483,78131,386,467
-1-7-23-161-383-509-2,681-3,563-8,809-11,707-61,663-81,949-194,947-1,364,629-4,483,781-31,386,467

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