Q: What are the factor combinations of the number 62,020,357?

 A:
Positive:   1 x 620203577 x 886005129 x 2138633193 x 321349203 x 3055191351 x 459071583 x 391795597 x 11081
Negative: -1 x -62020357-7 x -8860051-29 x -2138633-193 x -321349-203 x -305519-1351 x -45907-1583 x -39179-5597 x -11081


How do I find the factor combinations of the number 62,020,357?

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 62,020,357, 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 62,020,357
-1 -62,020,357

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 62,020,357.

Example:
1 x 62,020,357 = 62,020,357
and
-1 x -62,020,357 = 62,020,357
Notice both answers equal 62,020,357

With that explanation out of the way, let's continue. Next, we take the number 62,020,357 and divide it by 2:

62,020,357 ÷ 2 = 31,010,178.5

If the quotient is a whole number, then 2 and 31,010,178.5 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 62,020,357
-1 -62,020,357

Now, we try dividing 62,020,357 by 3:

62,020,357 ÷ 3 = 20,673,452.3333

If the quotient is a whole number, then 3 and 20,673,452.3333 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 62,020,357
-1 -62,020,357

Let's try dividing by 4:

62,020,357 ÷ 4 = 15,505,089.25

If the quotient is a whole number, then 4 and 15,505,089.25 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 62,020,357
-1 62,020,357
Keep dividing by the next highest number until you cannot divide anymore.

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

17291932031,3511,5835,59711,08139,17945,907305,519321,3492,138,6338,860,05162,020,357
-1-7-29-193-203-1,351-1,583-5,597-11,081-39,179-45,907-305,519-321,349-2,138,633-8,860,051-62,020,357

More Examples

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