Q: What are the factor combinations of the number 152,031,107?

 A:
Positive:   1 x 15203110767 x 226912197 x 1567331149 x 1020343157 x 9683516499 x 233939983 x 1522910519 x 14453
Negative: -1 x -152031107-67 x -2269121-97 x -1567331-149 x -1020343-157 x -968351-6499 x -23393-9983 x -15229-10519 x -14453


How do I find the factor combinations of the number 152,031,107?

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 152,031,107, 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.

1 152,031,107
-1 -152,031,107

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 152,031,107.

Example:
1 x 152,031,107 = 152,031,107
and
-1 x -152,031,107 = 152,031,107
Notice both answers equal 152,031,107

With that explanation out of the way, let's continue. Next, we take the number 152,031,107 and divide it by 2:

152,031,107 ÷ 2 = 76,015,553.5

If the quotient is a whole number, then 2 and 76,015,553.5 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:

1 152,031,107
-1 -152,031,107

Now, we try dividing 152,031,107 by 3:

152,031,107 ÷ 3 = 50,677,035.6667

If the quotient is a whole number, then 3 and 50,677,035.6667 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:

1 152,031,107
-1 -152,031,107

Let's try dividing by 4:

152,031,107 ÷ 4 = 38,007,776.75

If the quotient is a whole number, then 4 and 38,007,776.75 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:

1 152,031,107
-1 152,031,107
Keep dividing by the next highest number until you cannot divide anymore.

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

167971491576,4999,98310,51914,45315,22923,393968,3511,020,3431,567,3312,269,121152,031,107
-1-67-97-149-157-6,499-9,983-10,519-14,453-15,229-23,393-968,351-1,020,343-1,567,331-2,269,121-152,031,107

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