Q: What are the factor combinations of the number 40,111,337?

 A:
Positive:   1 x 401113377 x 573019119 x 2111123133 x 301589191 x 2100071337 x 300011579 x 254033629 x 11053
Negative: -1 x -40111337-7 x -5730191-19 x -2111123-133 x -301589-191 x -210007-1337 x -30001-1579 x -25403-3629 x -11053


How do I find the factor combinations of the number 40,111,337?

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 40,111,337, 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 40,111,337
-1 -40,111,337

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 40,111,337.

Example:
1 x 40,111,337 = 40,111,337
and
-1 x -40,111,337 = 40,111,337
Notice both answers equal 40,111,337

With that explanation out of the way, let's continue. Next, we take the number 40,111,337 and divide it by 2:

40,111,337 ÷ 2 = 20,055,668.5

If the quotient is a whole number, then 2 and 20,055,668.5 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 40,111,337
-1 -40,111,337

Now, we try dividing 40,111,337 by 3:

40,111,337 ÷ 3 = 13,370,445.6667

If the quotient is a whole number, then 3 and 13,370,445.6667 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 40,111,337
-1 -40,111,337

Let's try dividing by 4:

40,111,337 ÷ 4 = 10,027,834.25

If the quotient is a whole number, then 4 and 10,027,834.25 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 40,111,337
-1 40,111,337
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331911,3371,5793,62911,05325,40330,001210,007301,5892,111,1235,730,19140,111,337
-1-7-19-133-191-1,337-1,579-3,629-11,053-25,403-30,001-210,007-301,589-2,111,123-5,730,191-40,111,337

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