Q: What are the factor combinations of the number 361,253,111?

 A:
Positive:   1 x 36125311117 x 2125018323 x 15706657373 x 968507391 x 9239212477 x 1458436341 x 569718579 x 42109
Negative: -1 x -361253111-17 x -21250183-23 x -15706657-373 x -968507-391 x -923921-2477 x -145843-6341 x -56971-8579 x -42109


How do I find the factor combinations of the number 361,253,111?

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 361,253,111, 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.

1 361,253,111
-1 -361,253,111

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 361,253,111.

Example:
1 x 361,253,111 = 361,253,111
and
-1 x -361,253,111 = 361,253,111
Notice both answers equal 361,253,111

With that explanation out of the way, let's continue. Next, we take the number 361,253,111 and divide it by 2:

361,253,111 ÷ 2 = 180,626,555.5

If the quotient is a whole number, then 2 and 180,626,555.5 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:

1 361,253,111
-1 -361,253,111

Now, we try dividing 361,253,111 by 3:

361,253,111 ÷ 3 = 120,417,703.6667

If the quotient is a whole number, then 3 and 120,417,703.6667 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:

1 361,253,111
-1 -361,253,111

Let's try dividing by 4:

361,253,111 ÷ 4 = 90,313,277.75

If the quotient is a whole number, then 4 and 90,313,277.75 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:

1 361,253,111
-1 361,253,111
Keep dividing by the next highest number until you cannot divide anymore.

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

117233733912,4776,3418,57942,10956,971145,843923,921968,50715,706,65721,250,183361,253,111
-1-17-23-373-391-2,477-6,341-8,579-42,109-56,971-145,843-923,921-968,507-15,706,657-21,250,183-361,253,111

More Examples

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