Q: What are the factor combinations of the number 315,443,315?

 A:
Positive:   1 x 3154433155 x 6308866311 x 2867666537 x 852549555 x 5735333185 x 1705099407 x 7750452035 x 155009
Negative: -1 x -315443315-5 x -63088663-11 x -28676665-37 x -8525495-55 x -5735333-185 x -1705099-407 x -775045-2035 x -155009


How do I find the factor combinations of the number 315,443,315?

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 315,443,315, 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.

1 315,443,315
-1 -315,443,315

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 315,443,315.

Example:
1 x 315,443,315 = 315,443,315
and
-1 x -315,443,315 = 315,443,315
Notice both answers equal 315,443,315

With that explanation out of the way, let's continue. Next, we take the number 315,443,315 and divide it by 2:

315,443,315 ÷ 2 = 157,721,657.5

If the quotient is a whole number, then 2 and 157,721,657.5 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:

1 315,443,315
-1 -315,443,315

Now, we try dividing 315,443,315 by 3:

315,443,315 ÷ 3 = 105,147,771.6667

If the quotient is a whole number, then 3 and 105,147,771.6667 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:

1 315,443,315
-1 -315,443,315

Let's try dividing by 4:

315,443,315 ÷ 4 = 78,860,828.75

If the quotient is a whole number, then 4 and 78,860,828.75 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:

1 315,443,315
-1 315,443,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551854072,035155,009775,0451,705,0995,735,3338,525,49528,676,66563,088,663315,443,315
-1-5-11-37-55-185-407-2,035-155,009-775,045-1,705,099-5,735,333-8,525,495-28,676,665-63,088,663-315,443,315

More Examples

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