Q: What are the factor combinations of the number 202,140,155?

 A:
Positive:   1 x 2021401555 x 404280317 x 2887716535 x 5775433353 x 5726351765 x 1145272471 x 8180512355 x 16361
Negative: -1 x -202140155-5 x -40428031-7 x -28877165-35 x -5775433-353 x -572635-1765 x -114527-2471 x -81805-12355 x -16361


How do I find the factor combinations of the number 202,140,155?

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 202,140,155, 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.

1 202,140,155
-1 -202,140,155

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 202,140,155.

Example:
1 x 202,140,155 = 202,140,155
and
-1 x -202,140,155 = 202,140,155
Notice both answers equal 202,140,155

With that explanation out of the way, let's continue. Next, we take the number 202,140,155 and divide it by 2:

202,140,155 ÷ 2 = 101,070,077.5

If the quotient is a whole number, then 2 and 101,070,077.5 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:

1 202,140,155
-1 -202,140,155

Now, we try dividing 202,140,155 by 3:

202,140,155 ÷ 3 = 67,380,051.6667

If the quotient is a whole number, then 3 and 67,380,051.6667 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:

1 202,140,155
-1 -202,140,155

Let's try dividing by 4:

202,140,155 ÷ 4 = 50,535,038.75

If the quotient is a whole number, then 4 and 50,535,038.75 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:

1 202,140,155
-1 202,140,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157353531,7652,47112,35516,36181,805114,527572,6355,775,43328,877,16540,428,031202,140,155
-1-5-7-35-353-1,765-2,471-12,355-16,361-81,805-114,527-572,635-5,775,433-28,877,165-40,428,031-202,140,155

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