Q: What are the factor combinations of the number 150,488,555?

 A:
Positive:   1 x 1504885555 x 300977117 x 2149836535 x 429967349 x 3071195245 x 614239421 x 3574551459 x 1031452105 x 714912947 x 510657295 x 2062910213 x 14735
Negative: -1 x -150488555-5 x -30097711-7 x -21498365-35 x -4299673-49 x -3071195-245 x -614239-421 x -357455-1459 x -103145-2105 x -71491-2947 x -51065-7295 x -20629-10213 x -14735


How do I find the factor combinations of the number 150,488,555?

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 150,488,555, 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.

1 150,488,555
-1 -150,488,555

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 150,488,555.

Example:
1 x 150,488,555 = 150,488,555
and
-1 x -150,488,555 = 150,488,555
Notice both answers equal 150,488,555

With that explanation out of the way, let's continue. Next, we take the number 150,488,555 and divide it by 2:

150,488,555 ÷ 2 = 75,244,277.5

If the quotient is a whole number, then 2 and 75,244,277.5 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:

1 150,488,555
-1 -150,488,555

Now, we try dividing 150,488,555 by 3:

150,488,555 ÷ 3 = 50,162,851.6667

If the quotient is a whole number, then 3 and 50,162,851.6667 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:

1 150,488,555
-1 -150,488,555

Let's try dividing by 4:

150,488,555 ÷ 4 = 37,622,138.75

If the quotient is a whole number, then 4 and 37,622,138.75 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:

1 150,488,555
-1 150,488,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492454211,4592,1052,9477,29510,21314,73520,62951,06571,491103,145357,455614,2393,071,1954,299,67321,498,36530,097,711150,488,555
-1-5-7-35-49-245-421-1,459-2,105-2,947-7,295-10,213-14,735-20,629-51,065-71,491-103,145-357,455-614,239-3,071,195-4,299,673-21,498,365-30,097,711-150,488,555

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