Q: What are the factor combinations of the number 90,084,071?

 A:
Positive:   1 x 900840717 x 1286915311 x 818946117 x 529906377 x 1169923119 x 757009187 x 4817331309 x 68819
Negative: -1 x -90084071-7 x -12869153-11 x -8189461-17 x -5299063-77 x -1169923-119 x -757009-187 x -481733-1309 x -68819


How do I find the factor combinations of the number 90,084,071?

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 90,084,071, 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 90,084,071
-1 -90,084,071

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 90,084,071.

Example:
1 x 90,084,071 = 90,084,071
and
-1 x -90,084,071 = 90,084,071
Notice both answers equal 90,084,071

With that explanation out of the way, let's continue. Next, we take the number 90,084,071 and divide it by 2:

90,084,071 ÷ 2 = 45,042,035.5

If the quotient is a whole number, then 2 and 45,042,035.5 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 90,084,071
-1 -90,084,071

Now, we try dividing 90,084,071 by 3:

90,084,071 ÷ 3 = 30,028,023.6667

If the quotient is a whole number, then 3 and 30,028,023.6667 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 90,084,071
-1 -90,084,071

Let's try dividing by 4:

90,084,071 ÷ 4 = 22,521,017.75

If the quotient is a whole number, then 4 and 22,521,017.75 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 90,084,071
-1 90,084,071
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,30968,819481,733757,0091,169,9235,299,0638,189,46112,869,15390,084,071
-1-7-11-17-77-119-187-1,309-68,819-481,733-757,009-1,169,923-5,299,063-8,189,461-12,869,153-90,084,071

More Examples

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