Q: What are the factor combinations of the number 315,207,211?

 A:
Positive:   1 x 31520721111 x 2865520173 x 4317907173 x 1822007803 x 3925371903 x 1656372269 x 13891912629 x 24959
Negative: -1 x -315207211-11 x -28655201-73 x -4317907-173 x -1822007-803 x -392537-1903 x -165637-2269 x -138919-12629 x -24959


How do I find the factor combinations of the number 315,207,211?

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 315,207,211, 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.

1 315,207,211
-1 -315,207,211

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 315,207,211.

Example:
1 x 315,207,211 = 315,207,211
and
-1 x -315,207,211 = 315,207,211
Notice both answers equal 315,207,211

With that explanation out of the way, let's continue. Next, we take the number 315,207,211 and divide it by 2:

315,207,211 ÷ 2 = 157,603,605.5

If the quotient is a whole number, then 2 and 157,603,605.5 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:

1 315,207,211
-1 -315,207,211

Now, we try dividing 315,207,211 by 3:

315,207,211 ÷ 3 = 105,069,070.3333

If the quotient is a whole number, then 3 and 105,069,070.3333 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:

1 315,207,211
-1 -315,207,211

Let's try dividing by 4:

315,207,211 ÷ 4 = 78,801,802.75

If the quotient is a whole number, then 4 and 78,801,802.75 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:

1 315,207,211
-1 315,207,211
Keep dividing by the next highest number until you cannot divide anymore.

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

111731738031,9032,26912,62924,959138,919165,637392,5371,822,0074,317,90728,655,201315,207,211
-1-11-73-173-803-1,903-2,269-12,629-24,959-138,919-165,637-392,537-1,822,007-4,317,907-28,655,201-315,207,211

More Examples

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