Q: What are the factor combinations of the number 62,431,375?

 A:
Positive:   1 x 624313755 x 1248627525 x 2497255125 x 499451173 x 360875865 x 721752887 x 216254325 x 14435
Negative: -1 x -62431375-5 x -12486275-25 x -2497255-125 x -499451-173 x -360875-865 x -72175-2887 x -21625-4325 x -14435


How do I find the factor combinations of the number 62,431,375?

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 62,431,375, 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 62,431,375
-1 -62,431,375

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 62,431,375.

Example:
1 x 62,431,375 = 62,431,375
and
-1 x -62,431,375 = 62,431,375
Notice both answers equal 62,431,375

With that explanation out of the way, let's continue. Next, we take the number 62,431,375 and divide it by 2:

62,431,375 ÷ 2 = 31,215,687.5

If the quotient is a whole number, then 2 and 31,215,687.5 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 62,431,375
-1 -62,431,375

Now, we try dividing 62,431,375 by 3:

62,431,375 ÷ 3 = 20,810,458.3333

If the quotient is a whole number, then 3 and 20,810,458.3333 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 62,431,375
-1 -62,431,375

Let's try dividing by 4:

62,431,375 ÷ 4 = 15,607,843.75

If the quotient is a whole number, then 4 and 15,607,843.75 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 62,431,375
-1 62,431,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251738652,8874,32514,43521,62572,175360,875499,4512,497,25512,486,27562,431,375
-1-5-25-125-173-865-2,887-4,325-14,435-21,625-72,175-360,875-499,451-2,497,255-12,486,275-62,431,375

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