Q: What are the factor combinations of the number 72,627,043?

 A:
Positive:   1 x 7262704317 x 427217943 x 168900173 x 994891731 x 993531241 x 585231361 x 533633139 x 23137
Negative: -1 x -72627043-17 x -4272179-43 x -1689001-73 x -994891-731 x -99353-1241 x -58523-1361 x -53363-3139 x -23137


How do I find the factor combinations of the number 72,627,043?

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 72,627,043, 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 72,627,043
-1 -72,627,043

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 72,627,043.

Example:
1 x 72,627,043 = 72,627,043
and
-1 x -72,627,043 = 72,627,043
Notice both answers equal 72,627,043

With that explanation out of the way, let's continue. Next, we take the number 72,627,043 and divide it by 2:

72,627,043 ÷ 2 = 36,313,521.5

If the quotient is a whole number, then 2 and 36,313,521.5 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 72,627,043
-1 -72,627,043

Now, we try dividing 72,627,043 by 3:

72,627,043 ÷ 3 = 24,209,014.3333

If the quotient is a whole number, then 3 and 24,209,014.3333 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 72,627,043
-1 -72,627,043

Let's try dividing by 4:

72,627,043 ÷ 4 = 18,156,760.75

If the quotient is a whole number, then 4 and 18,156,760.75 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 72,627,043
-1 72,627,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11743737311,2411,3613,13923,13753,36358,52399,353994,8911,689,0014,272,17972,627,043
-1-17-43-73-731-1,241-1,361-3,139-23,137-53,363-58,523-99,353-994,891-1,689,001-4,272,179-72,627,043

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