Q: What are the factor combinations of the number 277,025,177?

 A:
Positive:   1 x 27702517711 x 2518410713 x 21309629143 x 1937239443 x 6253394373 x 633494873 x 568495759 x 48103
Negative: -1 x -277025177-11 x -25184107-13 x -21309629-143 x -1937239-443 x -625339-4373 x -63349-4873 x -56849-5759 x -48103


How do I find the factor combinations of the number 277,025,177?

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 277,025,177, 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.

1 277,025,177
-1 -277,025,177

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 277,025,177.

Example:
1 x 277,025,177 = 277,025,177
and
-1 x -277,025,177 = 277,025,177
Notice both answers equal 277,025,177

With that explanation out of the way, let's continue. Next, we take the number 277,025,177 and divide it by 2:

277,025,177 ÷ 2 = 138,512,588.5

If the quotient is a whole number, then 2 and 138,512,588.5 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:

1 277,025,177
-1 -277,025,177

Now, we try dividing 277,025,177 by 3:

277,025,177 ÷ 3 = 92,341,725.6667

If the quotient is a whole number, then 3 and 92,341,725.6667 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:

1 277,025,177
-1 -277,025,177

Let's try dividing by 4:

277,025,177 ÷ 4 = 69,256,294.25

If the quotient is a whole number, then 4 and 69,256,294.25 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:

1 277,025,177
-1 277,025,177
Keep dividing by the next highest number until you cannot divide anymore.

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

111131434434,3734,8735,75948,10356,84963,349625,3391,937,23921,309,62925,184,107277,025,177
-1-11-13-143-443-4,373-4,873-5,759-48,103-56,849-63,349-625,339-1,937,239-21,309,629-25,184,107-277,025,177

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