Q: What are the factor combinations of the number 62,043,521?

 A:
Positive:   1 x 620435212137 x 29033
Negative: -1 x -62043521-2137 x -29033


How do I find the factor combinations of the number 62,043,521?

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 62,043,521, 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 62,043,521
-1 -62,043,521

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 62,043,521.

Example:
1 x 62,043,521 = 62,043,521
and
-1 x -62,043,521 = 62,043,521
Notice both answers equal 62,043,521

With that explanation out of the way, let's continue. Next, we take the number 62,043,521 and divide it by 2:

62,043,521 ÷ 2 = 31,021,760.5

If the quotient is a whole number, then 2 and 31,021,760.5 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 62,043,521
-1 -62,043,521

Now, we try dividing 62,043,521 by 3:

62,043,521 ÷ 3 = 20,681,173.6667

If the quotient is a whole number, then 3 and 20,681,173.6667 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 62,043,521
-1 -62,043,521

Let's try dividing by 4:

62,043,521 ÷ 4 = 15,510,880.25

If the quotient is a whole number, then 4 and 15,510,880.25 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 62,043,521
-1 62,043,521
Keep dividing by the next highest number until you cannot divide anymore.

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

12,13729,03362,043,521
-1-2,137-29,033-62,043,521

More Examples

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