Q: What are the factor combinations of the number 36,156,715?

 A:
Positive:   1 x 361567155 x 72313437 x 516524519 x 190298535 x 103304995 x 380597133 x 271855665 x 54371
Negative: -1 x -36156715-5 x -7231343-7 x -5165245-19 x -1902985-35 x -1033049-95 x -380597-133 x -271855-665 x -54371


How do I find the factor combinations of the number 36,156,715?

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 36,156,715, 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 36,156,715
-1 -36,156,715

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 36,156,715.

Example:
1 x 36,156,715 = 36,156,715
and
-1 x -36,156,715 = 36,156,715
Notice both answers equal 36,156,715

With that explanation out of the way, let's continue. Next, we take the number 36,156,715 and divide it by 2:

36,156,715 ÷ 2 = 18,078,357.5

If the quotient is a whole number, then 2 and 18,078,357.5 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 36,156,715
-1 -36,156,715

Now, we try dividing 36,156,715 by 3:

36,156,715 ÷ 3 = 12,052,238.3333

If the quotient is a whole number, then 3 and 12,052,238.3333 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 36,156,715
-1 -36,156,715

Let's try dividing by 4:

36,156,715 ÷ 4 = 9,039,178.75

If the quotient is a whole number, then 4 and 9,039,178.75 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 36,156,715
-1 36,156,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366554,371271,855380,5971,033,0491,902,9855,165,2457,231,34336,156,715
-1-5-7-19-35-95-133-665-54,371-271,855-380,597-1,033,049-1,902,985-5,165,245-7,231,343-36,156,715

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