Q: What are the factor combinations of the number 315,341,155?

 A:
Positive:   1 x 3153411555 x 6306823123 x 13710485115 x 2742097991 x 3182052767 x 1139654955 x 6364113835 x 22793
Negative: -1 x -315341155-5 x -63068231-23 x -13710485-115 x -2742097-991 x -318205-2767 x -113965-4955 x -63641-13835 x -22793


How do I find the factor combinations of the number 315,341,155?

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 315,341,155, 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.

1 315,341,155
-1 -315,341,155

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 315,341,155.

Example:
1 x 315,341,155 = 315,341,155
and
-1 x -315,341,155 = 315,341,155
Notice both answers equal 315,341,155

With that explanation out of the way, let's continue. Next, we take the number 315,341,155 and divide it by 2:

315,341,155 ÷ 2 = 157,670,577.5

If the quotient is a whole number, then 2 and 157,670,577.5 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:

1 315,341,155
-1 -315,341,155

Now, we try dividing 315,341,155 by 3:

315,341,155 ÷ 3 = 105,113,718.3333

If the quotient is a whole number, then 3 and 105,113,718.3333 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:

1 315,341,155
-1 -315,341,155

Let's try dividing by 4:

315,341,155 ÷ 4 = 78,835,288.75

If the quotient is a whole number, then 4 and 78,835,288.75 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:

1 315,341,155
-1 315,341,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15231159912,7674,95513,83522,79363,641113,965318,2052,742,09713,710,48563,068,231315,341,155
-1-5-23-115-991-2,767-4,955-13,835-22,793-63,641-113,965-318,205-2,742,097-13,710,485-63,068,231-315,341,155

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