Q: What are the factor combinations of the number 42,044,009?

 A:
Positive:   1 x 420440097 x 600628717 x 247317749 x 858041119 x 353311289 x 145481833 x 504732023 x 207832969 x 14161
Negative: -1 x -42044009-7 x -6006287-17 x -2473177-49 x -858041-119 x -353311-289 x -145481-833 x -50473-2023 x -20783-2969 x -14161


How do I find the factor combinations of the number 42,044,009?

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 42,044,009, 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 42,044,009
-1 -42,044,009

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 42,044,009.

Example:
1 x 42,044,009 = 42,044,009
and
-1 x -42,044,009 = 42,044,009
Notice both answers equal 42,044,009

With that explanation out of the way, let's continue. Next, we take the number 42,044,009 and divide it by 2:

42,044,009 ÷ 2 = 21,022,004.5

If the quotient is a whole number, then 2 and 21,022,004.5 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 42,044,009
-1 -42,044,009

Now, we try dividing 42,044,009 by 3:

42,044,009 ÷ 3 = 14,014,669.6667

If the quotient is a whole number, then 3 and 14,014,669.6667 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 42,044,009
-1 -42,044,009

Let's try dividing by 4:

42,044,009 ÷ 4 = 10,511,002.25

If the quotient is a whole number, then 4 and 10,511,002.25 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 42,044,009
-1 42,044,009
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491192898332,0232,96914,16120,78350,473145,481353,311858,0412,473,1776,006,28742,044,009
-1-7-17-49-119-289-833-2,023-2,969-14,161-20,783-50,473-145,481-353,311-858,041-2,473,177-6,006,287-42,044,009

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