Q: What are the factor combinations of the number 150,524,645?

 A:
Positive:   1 x 1505246455 x 3010492929 x 5190505145 x 1038101853 x 1764651217 x 1236854265 x 352936085 x 24737
Negative: -1 x -150524645-5 x -30104929-29 x -5190505-145 x -1038101-853 x -176465-1217 x -123685-4265 x -35293-6085 x -24737


How do I find the factor combinations of the number 150,524,645?

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 150,524,645, 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.

1 150,524,645
-1 -150,524,645

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 150,524,645.

Example:
1 x 150,524,645 = 150,524,645
and
-1 x -150,524,645 = 150,524,645
Notice both answers equal 150,524,645

With that explanation out of the way, let's continue. Next, we take the number 150,524,645 and divide it by 2:

150,524,645 ÷ 2 = 75,262,322.5

If the quotient is a whole number, then 2 and 75,262,322.5 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:

1 150,524,645
-1 -150,524,645

Now, we try dividing 150,524,645 by 3:

150,524,645 ÷ 3 = 50,174,881.6667

If the quotient is a whole number, then 3 and 50,174,881.6667 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:

1 150,524,645
-1 -150,524,645

Let's try dividing by 4:

150,524,645 ÷ 4 = 37,631,161.25

If the quotient is a whole number, then 4 and 37,631,161.25 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:

1 150,524,645
-1 150,524,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15291458531,2174,2656,08524,73735,293123,685176,4651,038,1015,190,50530,104,929150,524,645
-1-5-29-145-853-1,217-4,265-6,085-24,737-35,293-123,685-176,465-1,038,101-5,190,505-30,104,929-150,524,645

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