Q: What are the factor combinations of the number 11,361,845?

 A:
Positive:   1 x 113618455 x 227236911 x 103289555 x 206579167 x 68035835 x 136071237 x 91851837 x 6185
Negative: -1 x -11361845-5 x -2272369-11 x -1032895-55 x -206579-167 x -68035-835 x -13607-1237 x -9185-1837 x -6185


How do I find the factor combinations of the number 11,361,845?

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 11,361,845, 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 11,361,845
-1 -11,361,845

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 11,361,845.

Example:
1 x 11,361,845 = 11,361,845
and
-1 x -11,361,845 = 11,361,845
Notice both answers equal 11,361,845

With that explanation out of the way, let's continue. Next, we take the number 11,361,845 and divide it by 2:

11,361,845 ÷ 2 = 5,680,922.5

If the quotient is a whole number, then 2 and 5,680,922.5 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 11,361,845
-1 -11,361,845

Now, we try dividing 11,361,845 by 3:

11,361,845 ÷ 3 = 3,787,281.6667

If the quotient is a whole number, then 3 and 3,787,281.6667 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 11,361,845
-1 -11,361,845

Let's try dividing by 4:

11,361,845 ÷ 4 = 2,840,461.25

If the quotient is a whole number, then 4 and 2,840,461.25 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 11,361,845
-1 11,361,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551678351,2371,8376,1859,18513,60768,035206,5791,032,8952,272,36911,361,845
-1-5-11-55-167-835-1,237-1,837-6,185-9,185-13,607-68,035-206,579-1,032,895-2,272,369-11,361,845

More Examples

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