Q: What are the factor combinations of the number 42,502,055?

 A:
Positive:   1 x 425020555 x 850041161 x 696755305 x 139351331 x 128405421 x 1009551655 x 256812105 x 20191
Negative: -1 x -42502055-5 x -8500411-61 x -696755-305 x -139351-331 x -128405-421 x -100955-1655 x -25681-2105 x -20191


How do I find the factor combinations of the number 42,502,055?

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 42,502,055, 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 42,502,055
-1 -42,502,055

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 42,502,055.

Example:
1 x 42,502,055 = 42,502,055
and
-1 x -42,502,055 = 42,502,055
Notice both answers equal 42,502,055

With that explanation out of the way, let's continue. Next, we take the number 42,502,055 and divide it by 2:

42,502,055 ÷ 2 = 21,251,027.5

If the quotient is a whole number, then 2 and 21,251,027.5 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 42,502,055
-1 -42,502,055

Now, we try dividing 42,502,055 by 3:

42,502,055 ÷ 3 = 14,167,351.6667

If the quotient is a whole number, then 3 and 14,167,351.6667 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 42,502,055
-1 -42,502,055

Let's try dividing by 4:

42,502,055 ÷ 4 = 10,625,513.75

If the quotient is a whole number, then 4 and 10,625,513.75 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 42,502,055
-1 42,502,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15613053314211,6552,10520,19125,681100,955128,405139,351696,7558,500,41142,502,055
-1-5-61-305-331-421-1,655-2,105-20,191-25,681-100,955-128,405-139,351-696,755-8,500,411-42,502,055

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