Q: What are the factor combinations of the number 40,264,445?

 A:
Positive:   1 x 402644455 x 805288913 x 309726565 x 619453509 x 791051217 x 330852545 x 158216085 x 6617
Negative: -1 x -40264445-5 x -8052889-13 x -3097265-65 x -619453-509 x -79105-1217 x -33085-2545 x -15821-6085 x -6617


How do I find the factor combinations of the number 40,264,445?

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 40,264,445, 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 40,264,445
-1 -40,264,445

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 40,264,445.

Example:
1 x 40,264,445 = 40,264,445
and
-1 x -40,264,445 = 40,264,445
Notice both answers equal 40,264,445

With that explanation out of the way, let's continue. Next, we take the number 40,264,445 and divide it by 2:

40,264,445 ÷ 2 = 20,132,222.5

If the quotient is a whole number, then 2 and 20,132,222.5 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 40,264,445
-1 -40,264,445

Now, we try dividing 40,264,445 by 3:

40,264,445 ÷ 3 = 13,421,481.6667

If the quotient is a whole number, then 3 and 13,421,481.6667 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 40,264,445
-1 -40,264,445

Let's try dividing by 4:

40,264,445 ÷ 4 = 10,066,111.25

If the quotient is a whole number, then 4 and 10,066,111.25 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 40,264,445
-1 40,264,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1513655091,2172,5456,0856,61715,82133,08579,105619,4533,097,2658,052,88940,264,445
-1-5-13-65-509-1,217-2,545-6,085-6,617-15,821-33,085-79,105-619,453-3,097,265-8,052,889-40,264,445

More Examples

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