Q: What are the factor combinations of the number 62,015,717?

 A:
Positive:   1 x 6201571729 x 213847331 x 2000507101 x 614017683 x 90799899 x 689832929 x 211733131 x 19807
Negative: -1 x -62015717-29 x -2138473-31 x -2000507-101 x -614017-683 x -90799-899 x -68983-2929 x -21173-3131 x -19807


How do I find the factor combinations of the number 62,015,717?

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 62,015,717, 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 62,015,717
-1 -62,015,717

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 62,015,717.

Example:
1 x 62,015,717 = 62,015,717
and
-1 x -62,015,717 = 62,015,717
Notice both answers equal 62,015,717

With that explanation out of the way, let's continue. Next, we take the number 62,015,717 and divide it by 2:

62,015,717 ÷ 2 = 31,007,858.5

If the quotient is a whole number, then 2 and 31,007,858.5 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 62,015,717
-1 -62,015,717

Now, we try dividing 62,015,717 by 3:

62,015,717 ÷ 3 = 20,671,905.6667

If the quotient is a whole number, then 3 and 20,671,905.6667 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 62,015,717
-1 -62,015,717

Let's try dividing by 4:

62,015,717 ÷ 4 = 15,503,929.25

If the quotient is a whole number, then 4 and 15,503,929.25 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 62,015,717
-1 62,015,717
Keep dividing by the next highest number until you cannot divide anymore.

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

129311016838992,9293,13119,80721,17368,98390,799614,0172,000,5072,138,47362,015,717
-1-29-31-101-683-899-2,929-3,131-19,807-21,173-68,983-90,799-614,017-2,000,507-2,138,473-62,015,717

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