Q: What are the factor combinations of the number 310,232,125?

 A:
Positive:   1 x 3102321255 x 620464257 x 4431887525 x 1240928535 x 8863775125 x 2481857175 x 1772755875 x 354551
Negative: -1 x -310232125-5 x -62046425-7 x -44318875-25 x -12409285-35 x -8863775-125 x -2481857-175 x -1772755-875 x -354551


How do I find the factor combinations of the number 310,232,125?

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 310,232,125, 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.

1 310,232,125
-1 -310,232,125

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 310,232,125.

Example:
1 x 310,232,125 = 310,232,125
and
-1 x -310,232,125 = 310,232,125
Notice both answers equal 310,232,125

With that explanation out of the way, let's continue. Next, we take the number 310,232,125 and divide it by 2:

310,232,125 ÷ 2 = 155,116,062.5

If the quotient is a whole number, then 2 and 155,116,062.5 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:

1 310,232,125
-1 -310,232,125

Now, we try dividing 310,232,125 by 3:

310,232,125 ÷ 3 = 103,410,708.3333

If the quotient is a whole number, then 3 and 103,410,708.3333 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:

1 310,232,125
-1 -310,232,125

Let's try dividing by 4:

310,232,125 ÷ 4 = 77,558,031.25

If the quotient is a whole number, then 4 and 77,558,031.25 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:

1 310,232,125
-1 310,232,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875354,5511,772,7552,481,8578,863,77512,409,28544,318,87562,046,425310,232,125
-1-5-7-25-35-125-175-875-354,551-1,772,755-2,481,857-8,863,775-12,409,285-44,318,875-62,046,425-310,232,125

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