Q: What are the factor combinations of the number 58,812,721?

 A:
Positive:   1 x 5881272111 x 534661137 x 158953383 x 708587407 x 144503913 x 644171741 x 337813071 x 19151
Negative: -1 x -58812721-11 x -5346611-37 x -1589533-83 x -708587-407 x -144503-913 x -64417-1741 x -33781-3071 x -19151


How do I find the factor combinations of the number 58,812,721?

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 58,812,721, 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 58,812,721
-1 -58,812,721

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 58,812,721.

Example:
1 x 58,812,721 = 58,812,721
and
-1 x -58,812,721 = 58,812,721
Notice both answers equal 58,812,721

With that explanation out of the way, let's continue. Next, we take the number 58,812,721 and divide it by 2:

58,812,721 ÷ 2 = 29,406,360.5

If the quotient is a whole number, then 2 and 29,406,360.5 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 58,812,721
-1 -58,812,721

Now, we try dividing 58,812,721 by 3:

58,812,721 ÷ 3 = 19,604,240.3333

If the quotient is a whole number, then 3 and 19,604,240.3333 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 58,812,721
-1 -58,812,721

Let's try dividing by 4:

58,812,721 ÷ 4 = 14,703,180.25

If the quotient is a whole number, then 4 and 14,703,180.25 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 58,812,721
-1 58,812,721
Keep dividing by the next highest number until you cannot divide anymore.

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

11137834079131,7413,07119,15133,78164,417144,503708,5871,589,5335,346,61158,812,721
-1-11-37-83-407-913-1,741-3,071-19,151-33,781-64,417-144,503-708,587-1,589,533-5,346,611-58,812,721

More Examples

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