Q: What are the factor combinations of the number 36,020,117?

 A:
Positive:   1 x 360201177 x 514573129 x 1242073191 x 188587203 x 177439929 x 387731337 x 269415539 x 6503
Negative: -1 x -36020117-7 x -5145731-29 x -1242073-191 x -188587-203 x -177439-929 x -38773-1337 x -26941-5539 x -6503


How do I find the factor combinations of the number 36,020,117?

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 36,020,117, 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 36,020,117
-1 -36,020,117

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 36,020,117.

Example:
1 x 36,020,117 = 36,020,117
and
-1 x -36,020,117 = 36,020,117
Notice both answers equal 36,020,117

With that explanation out of the way, let's continue. Next, we take the number 36,020,117 and divide it by 2:

36,020,117 ÷ 2 = 18,010,058.5

If the quotient is a whole number, then 2 and 18,010,058.5 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 36,020,117
-1 -36,020,117

Now, we try dividing 36,020,117 by 3:

36,020,117 ÷ 3 = 12,006,705.6667

If the quotient is a whole number, then 3 and 12,006,705.6667 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 36,020,117
-1 -36,020,117

Let's try dividing by 4:

36,020,117 ÷ 4 = 9,005,029.25

If the quotient is a whole number, then 4 and 9,005,029.25 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 36,020,117
-1 36,020,117
Keep dividing by the next highest number until you cannot divide anymore.

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

17291912039291,3375,5396,50326,94138,773177,439188,5871,242,0735,145,73136,020,117
-1-7-29-191-203-929-1,337-5,539-6,503-26,941-38,773-177,439-188,587-1,242,073-5,145,731-36,020,117

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