Q: What are the factor combinations of the number 40,445,545?

 A:
Positive:   1 x 404455455 x 80891097 x 577793531 x 130469535 x 1155587155 x 260939217 x 1863851085 x 37277
Negative: -1 x -40445545-5 x -8089109-7 x -5777935-31 x -1304695-35 x -1155587-155 x -260939-217 x -186385-1085 x -37277


How do I find the factor combinations of the number 40,445,545?

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 40,445,545, 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 40,445,545
-1 -40,445,545

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 40,445,545.

Example:
1 x 40,445,545 = 40,445,545
and
-1 x -40,445,545 = 40,445,545
Notice both answers equal 40,445,545

With that explanation out of the way, let's continue. Next, we take the number 40,445,545 and divide it by 2:

40,445,545 ÷ 2 = 20,222,772.5

If the quotient is a whole number, then 2 and 20,222,772.5 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 40,445,545
-1 -40,445,545

Now, we try dividing 40,445,545 by 3:

40,445,545 ÷ 3 = 13,481,848.3333

If the quotient is a whole number, then 3 and 13,481,848.3333 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 40,445,545
-1 -40,445,545

Let's try dividing by 4:

40,445,545 ÷ 4 = 10,111,386.25

If the quotient is a whole number, then 4 and 10,111,386.25 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 40,445,545
-1 40,445,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08537,277186,385260,9391,155,5871,304,6955,777,9358,089,10940,445,545
-1-5-7-31-35-155-217-1,085-37,277-186,385-260,939-1,155,587-1,304,695-5,777,935-8,089,109-40,445,545

More Examples

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