Q: What are the factor combinations of the number 277,678,795?

 A:
Positive:   1 x 2776787955 x 55535759101 x 2749295271 x 1024645505 x 5498591355 x 2049292029 x 13685510145 x 27371
Negative: -1 x -277678795-5 x -55535759-101 x -2749295-271 x -1024645-505 x -549859-1355 x -204929-2029 x -136855-10145 x -27371


How do I find the factor combinations of the number 277,678,795?

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 277,678,795, 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.

1 277,678,795
-1 -277,678,795

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 277,678,795.

Example:
1 x 277,678,795 = 277,678,795
and
-1 x -277,678,795 = 277,678,795
Notice both answers equal 277,678,795

With that explanation out of the way, let's continue. Next, we take the number 277,678,795 and divide it by 2:

277,678,795 ÷ 2 = 138,839,397.5

If the quotient is a whole number, then 2 and 138,839,397.5 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:

1 277,678,795
-1 -277,678,795

Now, we try dividing 277,678,795 by 3:

277,678,795 ÷ 3 = 92,559,598.3333

If the quotient is a whole number, then 3 and 92,559,598.3333 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:

1 277,678,795
-1 -277,678,795

Let's try dividing by 4:

277,678,795 ÷ 4 = 69,419,698.75

If the quotient is a whole number, then 4 and 69,419,698.75 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:

1 277,678,795
-1 277,678,795
Keep dividing by the next highest number until you cannot divide anymore.

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

151012715051,3552,02910,14527,371136,855204,929549,8591,024,6452,749,29555,535,759277,678,795
-1-5-101-271-505-1,355-2,029-10,145-27,371-136,855-204,929-549,859-1,024,645-2,749,295-55,535,759-277,678,795

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