Q: What are the factor combinations of the number 41,400,443?

 A:
Positive:   1 x 414004437 x 591434943 x 96280149 x 844907301 x 137543343 x 120701401 x 1032432107 x 196492401 x 172432807 x 14749
Negative: -1 x -41400443-7 x -5914349-43 x -962801-49 x -844907-301 x -137543-343 x -120701-401 x -103243-2107 x -19649-2401 x -17243-2807 x -14749


How do I find the factor combinations of the number 41,400,443?

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 41,400,443, 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 41,400,443
-1 -41,400,443

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 41,400,443.

Example:
1 x 41,400,443 = 41,400,443
and
-1 x -41,400,443 = 41,400,443
Notice both answers equal 41,400,443

With that explanation out of the way, let's continue. Next, we take the number 41,400,443 and divide it by 2:

41,400,443 ÷ 2 = 20,700,221.5

If the quotient is a whole number, then 2 and 20,700,221.5 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 41,400,443
-1 -41,400,443

Now, we try dividing 41,400,443 by 3:

41,400,443 ÷ 3 = 13,800,147.6667

If the quotient is a whole number, then 3 and 13,800,147.6667 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 41,400,443
-1 -41,400,443

Let's try dividing by 4:

41,400,443 ÷ 4 = 10,350,110.75

If the quotient is a whole number, then 4 and 10,350,110.75 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 41,400,443
-1 41,400,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1743493013434012,1072,4012,80714,74917,24319,649103,243120,701137,543844,907962,8015,914,34941,400,443
-1-7-43-49-301-343-401-2,107-2,401-2,807-14,749-17,243-19,649-103,243-120,701-137,543-844,907-962,801-5,914,349-41,400,443

More Examples

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