Q: What are the factor combinations of the number 42,975,535?

 A:
Positive:   1 x 429755355 x 859510729 x 1481915145 x 296383311 x 138185953 x 450951555 x 276374765 x 9019
Negative: -1 x -42975535-5 x -8595107-29 x -1481915-145 x -296383-311 x -138185-953 x -45095-1555 x -27637-4765 x -9019


How do I find the factor combinations of the number 42,975,535?

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 42,975,535, 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 42,975,535
-1 -42,975,535

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 42,975,535.

Example:
1 x 42,975,535 = 42,975,535
and
-1 x -42,975,535 = 42,975,535
Notice both answers equal 42,975,535

With that explanation out of the way, let's continue. Next, we take the number 42,975,535 and divide it by 2:

42,975,535 ÷ 2 = 21,487,767.5

If the quotient is a whole number, then 2 and 21,487,767.5 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 42,975,535
-1 -42,975,535

Now, we try dividing 42,975,535 by 3:

42,975,535 ÷ 3 = 14,325,178.3333

If the quotient is a whole number, then 3 and 14,325,178.3333 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 42,975,535
-1 -42,975,535

Let's try dividing by 4:

42,975,535 ÷ 4 = 10,743,883.75

If the quotient is a whole number, then 4 and 10,743,883.75 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 42,975,535
-1 42,975,535
Keep dividing by the next highest number until you cannot divide anymore.

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

15291453119531,5554,7659,01927,63745,095138,185296,3831,481,9158,595,10742,975,535
-1-5-29-145-311-953-1,555-4,765-9,019-27,637-45,095-138,185-296,383-1,481,915-8,595,107-42,975,535

More Examples

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