Q: What are the factor combinations of the number 200,241,041?

 A:
Positive:   1 x 2002410417 x 2860586311 x 1820373113 x 1540315777 x 260053391 x 2200451143 x 14002871001 x 200041
Negative: -1 x -200241041-7 x -28605863-11 x -18203731-13 x -15403157-77 x -2600533-91 x -2200451-143 x -1400287-1001 x -200041


How do I find the factor combinations of the number 200,241,041?

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 200,241,041, 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.

1 200,241,041
-1 -200,241,041

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 200,241,041.

Example:
1 x 200,241,041 = 200,241,041
and
-1 x -200,241,041 = 200,241,041
Notice both answers equal 200,241,041

With that explanation out of the way, let's continue. Next, we take the number 200,241,041 and divide it by 2:

200,241,041 ÷ 2 = 100,120,520.5

If the quotient is a whole number, then 2 and 100,120,520.5 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:

1 200,241,041
-1 -200,241,041

Now, we try dividing 200,241,041 by 3:

200,241,041 ÷ 3 = 66,747,013.6667

If the quotient is a whole number, then 3 and 66,747,013.6667 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:

1 200,241,041
-1 -200,241,041

Let's try dividing by 4:

200,241,041 ÷ 4 = 50,060,260.25

If the quotient is a whole number, then 4 and 50,060,260.25 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:

1 200,241,041
-1 200,241,041
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,001200,0411,400,2872,200,4512,600,53315,403,15718,203,73128,605,863200,241,041
-1-7-11-13-77-91-143-1,001-200,041-1,400,287-2,200,451-2,600,533-15,403,157-18,203,731-28,605,863-200,241,041

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