Q: What are the factor combinations of the number 71,563,217?

 A:
Positive:   1 x 7156321711 x 650574717 x 420960137 x 1934141187 x 382691407 x 175831629 x 1137736919 x 10343
Negative: -1 x -71563217-11 x -6505747-17 x -4209601-37 x -1934141-187 x -382691-407 x -175831-629 x -113773-6919 x -10343


How do I find the factor combinations of the number 71,563,217?

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 71,563,217, 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 71,563,217
-1 -71,563,217

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 71,563,217.

Example:
1 x 71,563,217 = 71,563,217
and
-1 x -71,563,217 = 71,563,217
Notice both answers equal 71,563,217

With that explanation out of the way, let's continue. Next, we take the number 71,563,217 and divide it by 2:

71,563,217 ÷ 2 = 35,781,608.5

If the quotient is a whole number, then 2 and 35,781,608.5 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 71,563,217
-1 -71,563,217

Now, we try dividing 71,563,217 by 3:

71,563,217 ÷ 3 = 23,854,405.6667

If the quotient is a whole number, then 3 and 23,854,405.6667 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 71,563,217
-1 -71,563,217

Let's try dividing by 4:

71,563,217 ÷ 4 = 17,890,804.25

If the quotient is a whole number, then 4 and 17,890,804.25 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 71,563,217
-1 71,563,217
Keep dividing by the next highest number until you cannot divide anymore.

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

11117371874076296,91910,343113,773175,831382,6911,934,1414,209,6016,505,74771,563,217
-1-11-17-37-187-407-629-6,919-10,343-113,773-175,831-382,691-1,934,141-4,209,601-6,505,747-71,563,217

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