Q: What are the factor combinations of the number 90,079,045?

 A:
Positive:   1 x 900790455 x 180158097 x 1286843535 x 2573687271 x 3323951355 x 664791897 x 474859485 x 9497
Negative: -1 x -90079045-5 x -18015809-7 x -12868435-35 x -2573687-271 x -332395-1355 x -66479-1897 x -47485-9485 x -9497


How do I find the factor combinations of the number 90,079,045?

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 90,079,045, 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 90,079,045
-1 -90,079,045

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 90,079,045.

Example:
1 x 90,079,045 = 90,079,045
and
-1 x -90,079,045 = 90,079,045
Notice both answers equal 90,079,045

With that explanation out of the way, let's continue. Next, we take the number 90,079,045 and divide it by 2:

90,079,045 ÷ 2 = 45,039,522.5

If the quotient is a whole number, then 2 and 45,039,522.5 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 90,079,045
-1 -90,079,045

Now, we try dividing 90,079,045 by 3:

90,079,045 ÷ 3 = 30,026,348.3333

If the quotient is a whole number, then 3 and 30,026,348.3333 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 90,079,045
-1 -90,079,045

Let's try dividing by 4:

90,079,045 ÷ 4 = 22,519,761.25

If the quotient is a whole number, then 4 and 22,519,761.25 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 90,079,045
-1 90,079,045
Keep dividing by the next highest number until you cannot divide anymore.

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

157352711,3551,8979,4859,49747,48566,479332,3952,573,68712,868,43518,015,80990,079,045
-1-5-7-35-271-1,355-1,897-9,485-9,497-47,485-66,479-332,395-2,573,687-12,868,435-18,015,809-90,079,045

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