Q: What are the factor combinations of the number 200,123,035?

 A:
Positive:   1 x 2001230355 x 400246077 x 2858900535 x 5717801443 x 4517452215 x 903493101 x 6453512907 x 15505
Negative: -1 x -200123035-5 x -40024607-7 x -28589005-35 x -5717801-443 x -451745-2215 x -90349-3101 x -64535-12907 x -15505


How do I find the factor combinations of the number 200,123,035?

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 200,123,035, 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.

1 200,123,035
-1 -200,123,035

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 200,123,035.

Example:
1 x 200,123,035 = 200,123,035
and
-1 x -200,123,035 = 200,123,035
Notice both answers equal 200,123,035

With that explanation out of the way, let's continue. Next, we take the number 200,123,035 and divide it by 2:

200,123,035 ÷ 2 = 100,061,517.5

If the quotient is a whole number, then 2 and 100,061,517.5 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:

1 200,123,035
-1 -200,123,035

Now, we try dividing 200,123,035 by 3:

200,123,035 ÷ 3 = 66,707,678.3333

If the quotient is a whole number, then 3 and 66,707,678.3333 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:

1 200,123,035
-1 -200,123,035

Let's try dividing by 4:

200,123,035 ÷ 4 = 50,030,758.75

If the quotient is a whole number, then 4 and 50,030,758.75 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:

1 200,123,035
-1 200,123,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157354432,2153,10112,90715,50564,53590,349451,7455,717,80128,589,00540,024,607200,123,035
-1-5-7-35-443-2,215-3,101-12,907-15,505-64,535-90,349-451,745-5,717,801-28,589,005-40,024,607-200,123,035

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