Q: What are the factor combinations of the number 90,045,053?

 A:
Positive:   1 x 900450537 x 1286357943 x 2094071293 x 307321301 x 2991531021 x 881932051 x 439037147 x 12599
Negative: -1 x -90045053-7 x -12863579-43 x -2094071-293 x -307321-301 x -299153-1021 x -88193-2051 x -43903-7147 x -12599


How do I find the factor combinations of the number 90,045,053?

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 90,045,053, 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 90,045,053
-1 -90,045,053

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 90,045,053.

Example:
1 x 90,045,053 = 90,045,053
and
-1 x -90,045,053 = 90,045,053
Notice both answers equal 90,045,053

With that explanation out of the way, let's continue. Next, we take the number 90,045,053 and divide it by 2:

90,045,053 ÷ 2 = 45,022,526.5

If the quotient is a whole number, then 2 and 45,022,526.5 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 90,045,053
-1 -90,045,053

Now, we try dividing 90,045,053 by 3:

90,045,053 ÷ 3 = 30,015,017.6667

If the quotient is a whole number, then 3 and 30,015,017.6667 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 90,045,053
-1 -90,045,053

Let's try dividing by 4:

90,045,053 ÷ 4 = 22,511,263.25

If the quotient is a whole number, then 4 and 22,511,263.25 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 90,045,053
-1 90,045,053
Keep dividing by the next highest number until you cannot divide anymore.

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

17432933011,0212,0517,14712,59943,90388,193299,153307,3212,094,07112,863,57990,045,053
-1-7-43-293-301-1,021-2,051-7,147-12,599-43,903-88,193-299,153-307,321-2,094,071-12,863,579-90,045,053

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