Q: What are the factor combinations of the number 18,907,343?

 A:
Positive:   1 x 189073437 x 270104913 x 145441191 x 207773173 x 1092911201 x 157431211 x 156132249 x 8407
Negative: -1 x -18907343-7 x -2701049-13 x -1454411-91 x -207773-173 x -109291-1201 x -15743-1211 x -15613-2249 x -8407


How do I find the factor combinations of the number 18,907,343?

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 18,907,343, 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 18,907,343
-1 -18,907,343

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 18,907,343.

Example:
1 x 18,907,343 = 18,907,343
and
-1 x -18,907,343 = 18,907,343
Notice both answers equal 18,907,343

With that explanation out of the way, let's continue. Next, we take the number 18,907,343 and divide it by 2:

18,907,343 ÷ 2 = 9,453,671.5

If the quotient is a whole number, then 2 and 9,453,671.5 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 18,907,343
-1 -18,907,343

Now, we try dividing 18,907,343 by 3:

18,907,343 ÷ 3 = 6,302,447.6667

If the quotient is a whole number, then 3 and 6,302,447.6667 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 18,907,343
-1 -18,907,343

Let's try dividing by 4:

18,907,343 ÷ 4 = 4,726,835.75

If the quotient is a whole number, then 4 and 4,726,835.75 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 18,907,343
-1 18,907,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911731,2011,2112,2498,40715,61315,743109,291207,7731,454,4112,701,04918,907,343
-1-7-13-91-173-1,201-1,211-2,249-8,407-15,613-15,743-109,291-207,773-1,454,411-2,701,049-18,907,343

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 18,907,343:


Ask a Question