Q: What are the factor combinations of the number 277,137,287?

 A:
Positive:   1 x 2771372877 x 3959104119 x 1458617349 x 5655863133 x 2083739179 x 1548253931 x 2976771253 x 2211791663 x 1666493401 x 814878771 x 3159711641 x 23807
Negative: -1 x -277137287-7 x -39591041-19 x -14586173-49 x -5655863-133 x -2083739-179 x -1548253-931 x -297677-1253 x -221179-1663 x -166649-3401 x -81487-8771 x -31597-11641 x -23807


How do I find the factor combinations of the number 277,137,287?

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 277,137,287, 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.

1 277,137,287
-1 -277,137,287

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 277,137,287.

Example:
1 x 277,137,287 = 277,137,287
and
-1 x -277,137,287 = 277,137,287
Notice both answers equal 277,137,287

With that explanation out of the way, let's continue. Next, we take the number 277,137,287 and divide it by 2:

277,137,287 ÷ 2 = 138,568,643.5

If the quotient is a whole number, then 2 and 138,568,643.5 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:

1 277,137,287
-1 -277,137,287

Now, we try dividing 277,137,287 by 3:

277,137,287 ÷ 3 = 92,379,095.6667

If the quotient is a whole number, then 3 and 92,379,095.6667 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:

1 277,137,287
-1 -277,137,287

Let's try dividing by 4:

277,137,287 ÷ 4 = 69,284,321.75

If the quotient is a whole number, then 4 and 69,284,321.75 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:

1 277,137,287
-1 277,137,287
Keep dividing by the next highest number until you cannot divide anymore.

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

1719491331799311,2531,6633,4018,77111,64123,80731,59781,487166,649221,179297,6771,548,2532,083,7395,655,86314,586,17339,591,041277,137,287
-1-7-19-49-133-179-931-1,253-1,663-3,401-8,771-11,641-23,807-31,597-81,487-166,649-221,179-297,677-1,548,253-2,083,739-5,655,863-14,586,173-39,591,041-277,137,287

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