Q: What are the factor combinations of the number 27,341,347?

 A:
Positive:   1 x 2734134711 x 248557773 x 37453979 x 346093431 x 63437803 x 34049869 x 314634741 x 5767
Negative: -1 x -27341347-11 x -2485577-73 x -374539-79 x -346093-431 x -63437-803 x -34049-869 x -31463-4741 x -5767


How do I find the factor combinations of the number 27,341,347?

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 27,341,347, 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 27,341,347
-1 -27,341,347

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 27,341,347.

Example:
1 x 27,341,347 = 27,341,347
and
-1 x -27,341,347 = 27,341,347
Notice both answers equal 27,341,347

With that explanation out of the way, let's continue. Next, we take the number 27,341,347 and divide it by 2:

27,341,347 ÷ 2 = 13,670,673.5

If the quotient is a whole number, then 2 and 13,670,673.5 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 27,341,347
-1 -27,341,347

Now, we try dividing 27,341,347 by 3:

27,341,347 ÷ 3 = 9,113,782.3333

If the quotient is a whole number, then 3 and 9,113,782.3333 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 27,341,347
-1 -27,341,347

Let's try dividing by 4:

27,341,347 ÷ 4 = 6,835,336.75

If the quotient is a whole number, then 4 and 6,835,336.75 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 27,341,347
-1 27,341,347
Keep dividing by the next highest number until you cannot divide anymore.

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

11173794318038694,7415,76731,46334,04963,437346,093374,5392,485,57727,341,347
-1-11-73-79-431-803-869-4,741-5,767-31,463-34,049-63,437-346,093-374,539-2,485,577-27,341,347

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 27,341,347:


Ask a Question