Q: What are the factor combinations of the number 278,381,555?

 A:
Positive:   1 x 2783815555 x 55676311139 x 2002745263 x 1058485695 x 4005491315 x 2116971523 x 1827857615 x 36557
Negative: -1 x -278381555-5 x -55676311-139 x -2002745-263 x -1058485-695 x -400549-1315 x -211697-1523 x -182785-7615 x -36557


How do I find the factor combinations of the number 278,381,555?

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 278,381,555, 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.

1 278,381,555
-1 -278,381,555

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 278,381,555.

Example:
1 x 278,381,555 = 278,381,555
and
-1 x -278,381,555 = 278,381,555
Notice both answers equal 278,381,555

With that explanation out of the way, let's continue. Next, we take the number 278,381,555 and divide it by 2:

278,381,555 ÷ 2 = 139,190,777.5

If the quotient is a whole number, then 2 and 139,190,777.5 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:

1 278,381,555
-1 -278,381,555

Now, we try dividing 278,381,555 by 3:

278,381,555 ÷ 3 = 92,793,851.6667

If the quotient is a whole number, then 3 and 92,793,851.6667 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:

1 278,381,555
-1 -278,381,555

Let's try dividing by 4:

278,381,555 ÷ 4 = 69,595,388.75

If the quotient is a whole number, then 4 and 69,595,388.75 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:

1 278,381,555
-1 278,381,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151392636951,3151,5237,61536,557182,785211,697400,5491,058,4852,002,74555,676,311278,381,555
-1-5-139-263-695-1,315-1,523-7,615-36,557-182,785-211,697-400,549-1,058,485-2,002,745-55,676,311-278,381,555

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