Q: What are the factor combinations of the number 31,227,007?

 A:
Positive:   1 x 312270077 x 446100171 x 43981783 x 376229497 x 62831581 x 53747757 x 412515299 x 5893
Negative: -1 x -31227007-7 x -4461001-71 x -439817-83 x -376229-497 x -62831-581 x -53747-757 x -41251-5299 x -5893


How do I find the factor combinations of the number 31,227,007?

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 31,227,007, 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 31,227,007
-1 -31,227,007

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 31,227,007.

Example:
1 x 31,227,007 = 31,227,007
and
-1 x -31,227,007 = 31,227,007
Notice both answers equal 31,227,007

With that explanation out of the way, let's continue. Next, we take the number 31,227,007 and divide it by 2:

31,227,007 ÷ 2 = 15,613,503.5

If the quotient is a whole number, then 2 and 15,613,503.5 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 31,227,007
-1 -31,227,007

Now, we try dividing 31,227,007 by 3:

31,227,007 ÷ 3 = 10,409,002.3333

If the quotient is a whole number, then 3 and 10,409,002.3333 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 31,227,007
-1 -31,227,007

Let's try dividing by 4:

31,227,007 ÷ 4 = 7,806,751.75

If the quotient is a whole number, then 4 and 7,806,751.75 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 31,227,007
-1 31,227,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1771834975817575,2995,89341,25153,74762,831376,229439,8174,461,00131,227,007
-1-7-71-83-497-581-757-5,299-5,893-41,251-53,747-62,831-376,229-439,817-4,461,001-31,227,007

More Examples

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