Q: What are the factor combinations of the number 152,052,103?

 A:
Positive:   1 x 1520521037 x 2172172923 x 6610961161 x 944423953 x 159551991 x 1534336671 x 227936937 x 21919
Negative: -1 x -152052103-7 x -21721729-23 x -6610961-161 x -944423-953 x -159551-991 x -153433-6671 x -22793-6937 x -21919


How do I find the factor combinations of the number 152,052,103?

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 152,052,103, 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.

1 152,052,103
-1 -152,052,103

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 152,052,103.

Example:
1 x 152,052,103 = 152,052,103
and
-1 x -152,052,103 = 152,052,103
Notice both answers equal 152,052,103

With that explanation out of the way, let's continue. Next, we take the number 152,052,103 and divide it by 2:

152,052,103 ÷ 2 = 76,026,051.5

If the quotient is a whole number, then 2 and 76,026,051.5 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:

1 152,052,103
-1 -152,052,103

Now, we try dividing 152,052,103 by 3:

152,052,103 ÷ 3 = 50,684,034.3333

If the quotient is a whole number, then 3 and 50,684,034.3333 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:

1 152,052,103
-1 -152,052,103

Let's try dividing by 4:

152,052,103 ÷ 4 = 38,013,025.75

If the quotient is a whole number, then 4 and 38,013,025.75 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:

1 152,052,103
-1 152,052,103
Keep dividing by the next highest number until you cannot divide anymore.

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

17231619539916,6716,93721,91922,793153,433159,551944,4236,610,96121,721,729152,052,103
-1-7-23-161-953-991-6,671-6,937-21,919-22,793-153,433-159,551-944,423-6,610,961-21,721,729-152,052,103

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