Q: What are the factor combinations of the number 278,544,385?

 A:
Positive:   1 x 2785443855 x 557088777 x 3979205535 x 7958411643 x 4331953215 x 866394501 x 6188512377 x 22505
Negative: -1 x -278544385-5 x -55708877-7 x -39792055-35 x -7958411-643 x -433195-3215 x -86639-4501 x -61885-12377 x -22505


How do I find the factor combinations of the number 278,544,385?

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 278,544,385, 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.

1 278,544,385
-1 -278,544,385

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 278,544,385.

Example:
1 x 278,544,385 = 278,544,385
and
-1 x -278,544,385 = 278,544,385
Notice both answers equal 278,544,385

With that explanation out of the way, let's continue. Next, we take the number 278,544,385 and divide it by 2:

278,544,385 ÷ 2 = 139,272,192.5

If the quotient is a whole number, then 2 and 139,272,192.5 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:

1 278,544,385
-1 -278,544,385

Now, we try dividing 278,544,385 by 3:

278,544,385 ÷ 3 = 92,848,128.3333

If the quotient is a whole number, then 3 and 92,848,128.3333 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:

1 278,544,385
-1 -278,544,385

Let's try dividing by 4:

278,544,385 ÷ 4 = 69,636,096.25

If the quotient is a whole number, then 4 and 69,636,096.25 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:

1 278,544,385
-1 278,544,385
Keep dividing by the next highest number until you cannot divide anymore.

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

157356433,2154,50112,37722,50561,88586,639433,1957,958,41139,792,05555,708,877278,544,385
-1-5-7-35-643-3,215-4,501-12,377-22,505-61,885-86,639-433,195-7,958,411-39,792,055-55,708,877-278,544,385

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