Q: What are the factor combinations of the number 150,117,469?

 A:
Positive:   1 x 15011746931 x 4842499107 x 1402967167 x 898907271 x 5539393317 x 452575177 x 289978401 x 17869
Negative: -1 x -150117469-31 x -4842499-107 x -1402967-167 x -898907-271 x -553939-3317 x -45257-5177 x -28997-8401 x -17869


How do I find the factor combinations of the number 150,117,469?

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 150,117,469, 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.

1 150,117,469
-1 -150,117,469

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 150,117,469.

Example:
1 x 150,117,469 = 150,117,469
and
-1 x -150,117,469 = 150,117,469
Notice both answers equal 150,117,469

With that explanation out of the way, let's continue. Next, we take the number 150,117,469 and divide it by 2:

150,117,469 ÷ 2 = 75,058,734.5

If the quotient is a whole number, then 2 and 75,058,734.5 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:

1 150,117,469
-1 -150,117,469

Now, we try dividing 150,117,469 by 3:

150,117,469 ÷ 3 = 50,039,156.3333

If the quotient is a whole number, then 3 and 50,039,156.3333 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:

1 150,117,469
-1 -150,117,469

Let's try dividing by 4:

150,117,469 ÷ 4 = 37,529,367.25

If the quotient is a whole number, then 4 and 37,529,367.25 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:

1 150,117,469
-1 150,117,469
Keep dividing by the next highest number until you cannot divide anymore.

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

1311071672713,3175,1778,40117,86928,99745,257553,939898,9071,402,9674,842,499150,117,469
-1-31-107-167-271-3,317-5,177-8,401-17,869-28,997-45,257-553,939-898,907-1,402,967-4,842,499-150,117,469

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