Q: What are the factor combinations of the number 204,420,155?

 A:
Positive:   1 x 2044201555 x 4088403117 x 1202471547 x 434936585 x 2404943235 x 869873799 x 2558453995 x 51169
Negative: -1 x -204420155-5 x -40884031-17 x -12024715-47 x -4349365-85 x -2404943-235 x -869873-799 x -255845-3995 x -51169


How do I find the factor combinations of the number 204,420,155?

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 204,420,155, 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.

1 204,420,155
-1 -204,420,155

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 204,420,155.

Example:
1 x 204,420,155 = 204,420,155
and
-1 x -204,420,155 = 204,420,155
Notice both answers equal 204,420,155

With that explanation out of the way, let's continue. Next, we take the number 204,420,155 and divide it by 2:

204,420,155 ÷ 2 = 102,210,077.5

If the quotient is a whole number, then 2 and 102,210,077.5 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:

1 204,420,155
-1 -204,420,155

Now, we try dividing 204,420,155 by 3:

204,420,155 ÷ 3 = 68,140,051.6667

If the quotient is a whole number, then 3 and 68,140,051.6667 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:

1 204,420,155
-1 -204,420,155

Let's try dividing by 4:

204,420,155 ÷ 4 = 51,105,038.75

If the quotient is a whole number, then 4 and 51,105,038.75 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:

1 204,420,155
-1 204,420,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151747852357993,99551,169255,845869,8732,404,9434,349,36512,024,71540,884,031204,420,155
-1-5-17-47-85-235-799-3,995-51,169-255,845-869,873-2,404,943-4,349,365-12,024,715-40,884,031-204,420,155

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