Q: What are the factor combinations of the number 42,235,325?

 A:
Positive:   1 x 422353255 x 844706511 x 383957525 x 168941355 x 767915275 x 153583383 x 110275401 x 1053251915 x 220552005 x 210654213 x 100254411 x 9575
Negative: -1 x -42235325-5 x -8447065-11 x -3839575-25 x -1689413-55 x -767915-275 x -153583-383 x -110275-401 x -105325-1915 x -22055-2005 x -21065-4213 x -10025-4411 x -9575


How do I find the factor combinations of the number 42,235,325?

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 42,235,325, 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 42,235,325
-1 -42,235,325

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 42,235,325.

Example:
1 x 42,235,325 = 42,235,325
and
-1 x -42,235,325 = 42,235,325
Notice both answers equal 42,235,325

With that explanation out of the way, let's continue. Next, we take the number 42,235,325 and divide it by 2:

42,235,325 ÷ 2 = 21,117,662.5

If the quotient is a whole number, then 2 and 21,117,662.5 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 42,235,325
-1 -42,235,325

Now, we try dividing 42,235,325 by 3:

42,235,325 ÷ 3 = 14,078,441.6667

If the quotient is a whole number, then 3 and 14,078,441.6667 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 42,235,325
-1 -42,235,325

Let's try dividing by 4:

42,235,325 ÷ 4 = 10,558,831.25

If the quotient is a whole number, then 4 and 10,558,831.25 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 42,235,325
-1 42,235,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552753834011,9152,0054,2134,4119,57510,02521,06522,055105,325110,275153,583767,9151,689,4133,839,5758,447,06542,235,325
-1-5-11-25-55-275-383-401-1,915-2,005-4,213-4,411-9,575-10,025-21,065-22,055-105,325-110,275-153,583-767,915-1,689,413-3,839,575-8,447,065-42,235,325

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