Q: What are the factor combinations of the number 42,511,535?

 A:
Positive:   1 x 425115355 x 850230711 x 386468529 x 146591555 x 772937121 x 351335145 x 293183319 x 133265605 x 702671595 x 266532423 x 175453509 x 12115
Negative: -1 x -42511535-5 x -8502307-11 x -3864685-29 x -1465915-55 x -772937-121 x -351335-145 x -293183-319 x -133265-605 x -70267-1595 x -26653-2423 x -17545-3509 x -12115


How do I find the factor combinations of the number 42,511,535?

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 42,511,535, 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 42,511,535
-1 -42,511,535

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 42,511,535.

Example:
1 x 42,511,535 = 42,511,535
and
-1 x -42,511,535 = 42,511,535
Notice both answers equal 42,511,535

With that explanation out of the way, let's continue. Next, we take the number 42,511,535 and divide it by 2:

42,511,535 ÷ 2 = 21,255,767.5

If the quotient is a whole number, then 2 and 21,255,767.5 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 42,511,535
-1 -42,511,535

Now, we try dividing 42,511,535 by 3:

42,511,535 ÷ 3 = 14,170,511.6667

If the quotient is a whole number, then 3 and 14,170,511.6667 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 42,511,535
-1 -42,511,535

Let's try dividing by 4:

42,511,535 ÷ 4 = 10,627,883.75

If the quotient is a whole number, then 4 and 10,627,883.75 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 42,511,535
-1 42,511,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551211453196051,5952,4233,50912,11517,54526,65370,267133,265293,183351,335772,9371,465,9153,864,6858,502,30742,511,535
-1-5-11-29-55-121-145-319-605-1,595-2,423-3,509-12,115-17,545-26,653-70,267-133,265-293,183-351,335-772,937-1,465,915-3,864,685-8,502,307-42,511,535

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