Q: What are the factor combinations of the number 40,423,055?

 A:
Positive:   1 x 404230555 x 808461137 x 109251547 x 860065185 x 218503235 x 1720131739 x 232454649 x 8695
Negative: -1 x -40423055-5 x -8084611-37 x -1092515-47 x -860065-185 x -218503-235 x -172013-1739 x -23245-4649 x -8695


How do I find the factor combinations of the number 40,423,055?

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 40,423,055, 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 40,423,055
-1 -40,423,055

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 40,423,055.

Example:
1 x 40,423,055 = 40,423,055
and
-1 x -40,423,055 = 40,423,055
Notice both answers equal 40,423,055

With that explanation out of the way, let's continue. Next, we take the number 40,423,055 and divide it by 2:

40,423,055 ÷ 2 = 20,211,527.5

If the quotient is a whole number, then 2 and 20,211,527.5 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 40,423,055
-1 -40,423,055

Now, we try dividing 40,423,055 by 3:

40,423,055 ÷ 3 = 13,474,351.6667

If the quotient is a whole number, then 3 and 13,474,351.6667 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 40,423,055
-1 -40,423,055

Let's try dividing by 4:

40,423,055 ÷ 4 = 10,105,763.75

If the quotient is a whole number, then 4 and 10,105,763.75 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 40,423,055
-1 40,423,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1537471852351,7394,6498,69523,245172,013218,503860,0651,092,5158,084,61140,423,055
-1-5-37-47-185-235-1,739-4,649-8,695-23,245-172,013-218,503-860,065-1,092,515-8,084,611-40,423,055

More Examples

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