Q: What are the factor combinations of the number 42,767,087?

 A:
Positive:   1 x 4276708711 x 388791717 x 2515711121 x 353447187 x 228701289 x 1479831223 x 349692057 x 207913179 x 13453
Negative: -1 x -42767087-11 x -3887917-17 x -2515711-121 x -353447-187 x -228701-289 x -147983-1223 x -34969-2057 x -20791-3179 x -13453


How do I find the factor combinations of the number 42,767,087?

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 42,767,087, 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 42,767,087
-1 -42,767,087

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 42,767,087.

Example:
1 x 42,767,087 = 42,767,087
and
-1 x -42,767,087 = 42,767,087
Notice both answers equal 42,767,087

With that explanation out of the way, let's continue. Next, we take the number 42,767,087 and divide it by 2:

42,767,087 ÷ 2 = 21,383,543.5

If the quotient is a whole number, then 2 and 21,383,543.5 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 42,767,087
-1 -42,767,087

Now, we try dividing 42,767,087 by 3:

42,767,087 ÷ 3 = 14,255,695.6667

If the quotient is a whole number, then 3 and 14,255,695.6667 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 42,767,087
-1 -42,767,087

Let's try dividing by 4:

42,767,087 ÷ 4 = 10,691,771.75

If the quotient is a whole number, then 4 and 10,691,771.75 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 42,767,087
-1 42,767,087
Keep dividing by the next highest number until you cannot divide anymore.

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

111171211872891,2232,0573,17913,45320,79134,969147,983228,701353,4472,515,7113,887,91742,767,087
-1-11-17-121-187-289-1,223-2,057-3,179-13,453-20,791-34,969-147,983-228,701-353,447-2,515,711-3,887,917-42,767,087

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