Q: What are the factor combinations of the number 41,723,357?

 A:
Positive:   1 x 4172335713 x 320948923 x 181405947 x 887731299 x 139543611 x 682871081 x 385972969 x 14053
Negative: -1 x -41723357-13 x -3209489-23 x -1814059-47 x -887731-299 x -139543-611 x -68287-1081 x -38597-2969 x -14053


How do I find the factor combinations of the number 41,723,357?

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 41,723,357, 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 41,723,357
-1 -41,723,357

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 41,723,357.

Example:
1 x 41,723,357 = 41,723,357
and
-1 x -41,723,357 = 41,723,357
Notice both answers equal 41,723,357

With that explanation out of the way, let's continue. Next, we take the number 41,723,357 and divide it by 2:

41,723,357 ÷ 2 = 20,861,678.5

If the quotient is a whole number, then 2 and 20,861,678.5 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 41,723,357
-1 -41,723,357

Now, we try dividing 41,723,357 by 3:

41,723,357 ÷ 3 = 13,907,785.6667

If the quotient is a whole number, then 3 and 13,907,785.6667 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 41,723,357
-1 -41,723,357

Let's try dividing by 4:

41,723,357 ÷ 4 = 10,430,839.25

If the quotient is a whole number, then 4 and 10,430,839.25 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 41,723,357
-1 41,723,357
Keep dividing by the next highest number until you cannot divide anymore.

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

11323472996111,0812,96914,05338,59768,287139,543887,7311,814,0593,209,48941,723,357
-1-13-23-47-299-611-1,081-2,969-14,053-38,597-68,287-139,543-887,731-1,814,059-3,209,489-41,723,357

More Examples

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