Q: What are the factor combinations of the number 200,153,545?

 A:
Positive:   1 x 2001535455 x 40030709193 x 1037065211 x 948595965 x 207413983 x 2036151055 x 1897194915 x 40723
Negative: -1 x -200153545-5 x -40030709-193 x -1037065-211 x -948595-965 x -207413-983 x -203615-1055 x -189719-4915 x -40723


How do I find the factor combinations of the number 200,153,545?

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 200,153,545, 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.

1 200,153,545
-1 -200,153,545

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 200,153,545.

Example:
1 x 200,153,545 = 200,153,545
and
-1 x -200,153,545 = 200,153,545
Notice both answers equal 200,153,545

With that explanation out of the way, let's continue. Next, we take the number 200,153,545 and divide it by 2:

200,153,545 ÷ 2 = 100,076,772.5

If the quotient is a whole number, then 2 and 100,076,772.5 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:

1 200,153,545
-1 -200,153,545

Now, we try dividing 200,153,545 by 3:

200,153,545 ÷ 3 = 66,717,848.3333

If the quotient is a whole number, then 3 and 66,717,848.3333 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:

1 200,153,545
-1 -200,153,545

Let's try dividing by 4:

200,153,545 ÷ 4 = 50,038,386.25

If the quotient is a whole number, then 4 and 50,038,386.25 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:

1 200,153,545
-1 200,153,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151932119659831,0554,91540,723189,719203,615207,413948,5951,037,06540,030,709200,153,545
-1-5-193-211-965-983-1,055-4,915-40,723-189,719-203,615-207,413-948,595-1,037,065-40,030,709-200,153,545

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