Q: What are the factor combinations of the number 18,058,213?

 A:
Positive:   1 x 1805821329 x 62269731 x 58252353 x 340721379 x 47647899 x 200871537 x 117491643 x 10991
Negative: -1 x -18058213-29 x -622697-31 x -582523-53 x -340721-379 x -47647-899 x -20087-1537 x -11749-1643 x -10991


How do I find the factor combinations of the number 18,058,213?

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 18,058,213, 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 18,058,213
-1 -18,058,213

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 18,058,213.

Example:
1 x 18,058,213 = 18,058,213
and
-1 x -18,058,213 = 18,058,213
Notice both answers equal 18,058,213

With that explanation out of the way, let's continue. Next, we take the number 18,058,213 and divide it by 2:

18,058,213 ÷ 2 = 9,029,106.5

If the quotient is a whole number, then 2 and 9,029,106.5 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 18,058,213
-1 -18,058,213

Now, we try dividing 18,058,213 by 3:

18,058,213 ÷ 3 = 6,019,404.3333

If the quotient is a whole number, then 3 and 6,019,404.3333 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 18,058,213
-1 -18,058,213

Let's try dividing by 4:

18,058,213 ÷ 4 = 4,514,553.25

If the quotient is a whole number, then 4 and 4,514,553.25 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 18,058,213
-1 18,058,213
Keep dividing by the next highest number until you cannot divide anymore.

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

12931533798991,5371,64310,99111,74920,08747,647340,721582,523622,69718,058,213
-1-29-31-53-379-899-1,537-1,643-10,991-11,749-20,087-47,647-340,721-582,523-622,697-18,058,213

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