Q: What are the factor combinations of the number 536,226,437?

 A:
Positive:   1 x 53622643731 x 17297627181 x 2962577227 x 2362231421 x 12736975611 x 955677037 x 7620113051 x 41087
Negative: -1 x -536226437-31 x -17297627-181 x -2962577-227 x -2362231-421 x -1273697-5611 x -95567-7037 x -76201-13051 x -41087


How do I find the factor combinations of the number 536,226,437?

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 536,226,437, 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.

1 536,226,437
-1 -536,226,437

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 536,226,437.

Example:
1 x 536,226,437 = 536,226,437
and
-1 x -536,226,437 = 536,226,437
Notice both answers equal 536,226,437

With that explanation out of the way, let's continue. Next, we take the number 536,226,437 and divide it by 2:

536,226,437 ÷ 2 = 268,113,218.5

If the quotient is a whole number, then 2 and 268,113,218.5 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:

1 536,226,437
-1 -536,226,437

Now, we try dividing 536,226,437 by 3:

536,226,437 ÷ 3 = 178,742,145.6667

If the quotient is a whole number, then 3 and 178,742,145.6667 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:

1 536,226,437
-1 -536,226,437

Let's try dividing by 4:

536,226,437 ÷ 4 = 134,056,609.25

If the quotient is a whole number, then 4 and 134,056,609.25 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:

1 536,226,437
-1 536,226,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1311812274215,6117,03713,05141,08776,20195,5671,273,6972,362,2312,962,57717,297,627536,226,437
-1-31-181-227-421-5,611-7,037-13,051-41,087-76,201-95,567-1,273,697-2,362,231-2,962,577-17,297,627-536,226,437

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