Q: What are the factor combinations of the number 40,110,077?

 A:
Positive:   1 x 401100777 x 573001149 x 818573337 x 119021343 x 116939347 x 1155912359 x 170032429 x 16513
Negative: -1 x -40110077-7 x -5730011-49 x -818573-337 x -119021-343 x -116939-347 x -115591-2359 x -17003-2429 x -16513


How do I find the factor combinations of the number 40,110,077?

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 40,110,077, 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 40,110,077
-1 -40,110,077

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 40,110,077.

Example:
1 x 40,110,077 = 40,110,077
and
-1 x -40,110,077 = 40,110,077
Notice both answers equal 40,110,077

With that explanation out of the way, let's continue. Next, we take the number 40,110,077 and divide it by 2:

40,110,077 ÷ 2 = 20,055,038.5

If the quotient is a whole number, then 2 and 20,055,038.5 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 40,110,077
-1 -40,110,077

Now, we try dividing 40,110,077 by 3:

40,110,077 ÷ 3 = 13,370,025.6667

If the quotient is a whole number, then 3 and 13,370,025.6667 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 40,110,077
-1 -40,110,077

Let's try dividing by 4:

40,110,077 ÷ 4 = 10,027,519.25

If the quotient is a whole number, then 4 and 10,027,519.25 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 40,110,077
-1 40,110,077
Keep dividing by the next highest number until you cannot divide anymore.

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

17493373433472,3592,42916,51317,003115,591116,939119,021818,5735,730,01140,110,077
-1-7-49-337-343-347-2,359-2,429-16,513-17,003-115,591-116,939-119,021-818,573-5,730,011-40,110,077

More Examples

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