Q: What are the factor combinations of the number 52,216,435?

 A:
Positive:   1 x 522164355 x 1044328717 x 307155537 x 141125585 x 614311185 x 282251629 x 830153145 x 16603
Negative: -1 x -52216435-5 x -10443287-17 x -3071555-37 x -1411255-85 x -614311-185 x -282251-629 x -83015-3145 x -16603


How do I find the factor combinations of the number 52,216,435?

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 52,216,435, 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 52,216,435
-1 -52,216,435

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 52,216,435.

Example:
1 x 52,216,435 = 52,216,435
and
-1 x -52,216,435 = 52,216,435
Notice both answers equal 52,216,435

With that explanation out of the way, let's continue. Next, we take the number 52,216,435 and divide it by 2:

52,216,435 ÷ 2 = 26,108,217.5

If the quotient is a whole number, then 2 and 26,108,217.5 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 52,216,435
-1 -52,216,435

Now, we try dividing 52,216,435 by 3:

52,216,435 ÷ 3 = 17,405,478.3333

If the quotient is a whole number, then 3 and 17,405,478.3333 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 52,216,435
-1 -52,216,435

Let's try dividing by 4:

52,216,435 ÷ 4 = 13,054,108.75

If the quotient is a whole number, then 4 and 13,054,108.75 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 52,216,435
-1 52,216,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151737851856293,14516,60383,015282,251614,3111,411,2553,071,55510,443,28752,216,435
-1-5-17-37-85-185-629-3,145-16,603-83,015-282,251-614,311-1,411,255-3,071,555-10,443,287-52,216,435

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