Q: What are the factor combinations of the number 277,702,463?

 A:
Positive:   1 x 27770246317 x 1633543929 x 9575947167 x 1662889493 x 5632912839 x 978173373 x 823314843 x 57341
Negative: -1 x -277702463-17 x -16335439-29 x -9575947-167 x -1662889-493 x -563291-2839 x -97817-3373 x -82331-4843 x -57341


How do I find the factor combinations of the number 277,702,463?

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 277,702,463, 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.

1 277,702,463
-1 -277,702,463

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 277,702,463.

Example:
1 x 277,702,463 = 277,702,463
and
-1 x -277,702,463 = 277,702,463
Notice both answers equal 277,702,463

With that explanation out of the way, let's continue. Next, we take the number 277,702,463 and divide it by 2:

277,702,463 ÷ 2 = 138,851,231.5

If the quotient is a whole number, then 2 and 138,851,231.5 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:

1 277,702,463
-1 -277,702,463

Now, we try dividing 277,702,463 by 3:

277,702,463 ÷ 3 = 92,567,487.6667

If the quotient is a whole number, then 3 and 92,567,487.6667 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:

1 277,702,463
-1 -277,702,463

Let's try dividing by 4:

277,702,463 ÷ 4 = 69,425,615.75

If the quotient is a whole number, then 4 and 69,425,615.75 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:

1 277,702,463
-1 277,702,463
Keep dividing by the next highest number until you cannot divide anymore.

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

117291674932,8393,3734,84357,34182,33197,817563,2911,662,8899,575,94716,335,439277,702,463
-1-17-29-167-493-2,839-3,373-4,843-57,341-82,331-97,817-563,291-1,662,889-9,575,947-16,335,439-277,702,463

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