Q: What are the factor combinations of the number 277,516,823?

 A:
Positive:   1 x 27751682317 x 1632451941 x 6768703193 x 1437911697 x 3981592063 x 1345213281 x 845837913 x 35071
Negative: -1 x -277516823-17 x -16324519-41 x -6768703-193 x -1437911-697 x -398159-2063 x -134521-3281 x -84583-7913 x -35071


How do I find the factor combinations of the number 277,516,823?

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 277,516,823, 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.

1 277,516,823
-1 -277,516,823

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 277,516,823.

Example:
1 x 277,516,823 = 277,516,823
and
-1 x -277,516,823 = 277,516,823
Notice both answers equal 277,516,823

With that explanation out of the way, let's continue. Next, we take the number 277,516,823 and divide it by 2:

277,516,823 ÷ 2 = 138,758,411.5

If the quotient is a whole number, then 2 and 138,758,411.5 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:

1 277,516,823
-1 -277,516,823

Now, we try dividing 277,516,823 by 3:

277,516,823 ÷ 3 = 92,505,607.6667

If the quotient is a whole number, then 3 and 92,505,607.6667 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:

1 277,516,823
-1 -277,516,823

Let's try dividing by 4:

277,516,823 ÷ 4 = 69,379,205.75

If the quotient is a whole number, then 4 and 69,379,205.75 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:

1 277,516,823
-1 277,516,823
Keep dividing by the next highest number until you cannot divide anymore.

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

117411936972,0633,2817,91335,07184,583134,521398,1591,437,9116,768,70316,324,519277,516,823
-1-17-41-193-697-2,063-3,281-7,913-35,071-84,583-134,521-398,159-1,437,911-6,768,703-16,324,519-277,516,823

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 277,516,823:


Ask a Question