Q: What are the factor combinations of the number 41,685,007?

 A:
Positive:   1 x 416850077 x 595500113 x 320653983 x 50222991 x 458077581 x 717471079 x 386335519 x 7553
Negative: -1 x -41685007-7 x -5955001-13 x -3206539-83 x -502229-91 x -458077-581 x -71747-1079 x -38633-5519 x -7553


How do I find the factor combinations of the number 41,685,007?

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 41,685,007, 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 41,685,007
-1 -41,685,007

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 41,685,007.

Example:
1 x 41,685,007 = 41,685,007
and
-1 x -41,685,007 = 41,685,007
Notice both answers equal 41,685,007

With that explanation out of the way, let's continue. Next, we take the number 41,685,007 and divide it by 2:

41,685,007 ÷ 2 = 20,842,503.5

If the quotient is a whole number, then 2 and 20,842,503.5 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 41,685,007
-1 -41,685,007

Now, we try dividing 41,685,007 by 3:

41,685,007 ÷ 3 = 13,895,002.3333

If the quotient is a whole number, then 3 and 13,895,002.3333 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 41,685,007
-1 -41,685,007

Let's try dividing by 4:

41,685,007 ÷ 4 = 10,421,251.75

If the quotient is a whole number, then 4 and 10,421,251.75 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 41,685,007
-1 41,685,007
Keep dividing by the next highest number until you cannot divide anymore.

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

171383915811,0795,5197,55338,63371,747458,077502,2293,206,5395,955,00141,685,007
-1-7-13-83-91-581-1,079-5,519-7,553-38,633-71,747-458,077-502,229-3,206,539-5,955,001-41,685,007

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