Q: What are the factor combinations of the number 42,503,131?

 A:
Positive:   1 x 4250313111 x 3863921223 x 1905972453 x 17327
Negative: -1 x -42503131-11 x -3863921-223 x -190597-2453 x -17327


How do I find the factor combinations of the number 42,503,131?

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 42,503,131, 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 42,503,131
-1 -42,503,131

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 42,503,131.

Example:
1 x 42,503,131 = 42,503,131
and
-1 x -42,503,131 = 42,503,131
Notice both answers equal 42,503,131

With that explanation out of the way, let's continue. Next, we take the number 42,503,131 and divide it by 2:

42,503,131 ÷ 2 = 21,251,565.5

If the quotient is a whole number, then 2 and 21,251,565.5 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 42,503,131
-1 -42,503,131

Now, we try dividing 42,503,131 by 3:

42,503,131 ÷ 3 = 14,167,710.3333

If the quotient is a whole number, then 3 and 14,167,710.3333 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 42,503,131
-1 -42,503,131

Let's try dividing by 4:

42,503,131 ÷ 4 = 10,625,782.75

If the quotient is a whole number, then 4 and 10,625,782.75 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 42,503,131
-1 42,503,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1112232,45317,327190,5973,863,92142,503,131
-1-11-223-2,453-17,327-190,597-3,863,921-42,503,131

More Examples

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