Q: What are the factor combinations of the number 1,077,755?

 A:
Positive:   1 x 10777555 x 2155517 x 15396535 x 3079349 x 2199553 x 2033583 x 12985245 x 4399265 x 4067371 x 2905415 x 2597581 x 1855
Negative: -1 x -1077755-5 x -215551-7 x -153965-35 x -30793-49 x -21995-53 x -20335-83 x -12985-245 x -4399-265 x -4067-371 x -2905-415 x -2597-581 x -1855


How do I find the factor combinations of the number 1,077,755?

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 1,077,755, 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 1,077,755
-1 -1,077,755

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 1,077,755.

Example:
1 x 1,077,755 = 1,077,755
and
-1 x -1,077,755 = 1,077,755
Notice both answers equal 1,077,755

With that explanation out of the way, let's continue. Next, we take the number 1,077,755 and divide it by 2:

1,077,755 ÷ 2 = 538,877.5

If the quotient is a whole number, then 2 and 538,877.5 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 1,077,755
-1 -1,077,755

Now, we try dividing 1,077,755 by 3:

1,077,755 ÷ 3 = 359,251.6667

If the quotient is a whole number, then 3 and 359,251.6667 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 1,077,755
-1 -1,077,755

Let's try dividing by 4:

1,077,755 ÷ 4 = 269,438.75

If the quotient is a whole number, then 4 and 269,438.75 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 1,077,755
-1 1,077,755
Keep dividing by the next highest number until you cannot divide anymore.

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

157354953832452653714155811,8552,5972,9054,0674,39912,98520,33521,99530,793153,965215,5511,077,755
-1-5-7-35-49-53-83-245-265-371-415-581-1,855-2,597-2,905-4,067-4,399-12,985-20,335-21,995-30,793-153,965-215,551-1,077,755

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