Q: What are the factor combinations of the number 412,553,155?

 A:
Positive:   1 x 4125531555 x 825106317 x 5893616535 x 11787233283 x 14577851415 x 2915571981 x 2082559905 x 41651
Negative: -1 x -412553155-5 x -82510631-7 x -58936165-35 x -11787233-283 x -1457785-1415 x -291557-1981 x -208255-9905 x -41651


How do I find the factor combinations of the number 412,553,155?

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 412,553,155, 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.

1 412,553,155
-1 -412,553,155

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 412,553,155.

Example:
1 x 412,553,155 = 412,553,155
and
-1 x -412,553,155 = 412,553,155
Notice both answers equal 412,553,155

With that explanation out of the way, let's continue. Next, we take the number 412,553,155 and divide it by 2:

412,553,155 ÷ 2 = 206,276,577.5

If the quotient is a whole number, then 2 and 206,276,577.5 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:

1 412,553,155
-1 -412,553,155

Now, we try dividing 412,553,155 by 3:

412,553,155 ÷ 3 = 137,517,718.3333

If the quotient is a whole number, then 3 and 137,517,718.3333 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:

1 412,553,155
-1 -412,553,155

Let's try dividing by 4:

412,553,155 ÷ 4 = 103,138,288.75

If the quotient is a whole number, then 4 and 103,138,288.75 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:

1 412,553,155
-1 412,553,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157352831,4151,9819,90541,651208,255291,5571,457,78511,787,23358,936,16582,510,631412,553,155
-1-5-7-35-283-1,415-1,981-9,905-41,651-208,255-291,557-1,457,785-11,787,233-58,936,165-82,510,631-412,553,155

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