Q: What are the factor combinations of the number 149,124,755?

 A:
Positive:   1 x 1491247555 x 2982495113 x 1147113523 x 648368565 x 2294227115 x 1296737169 x 882395299 x 498745845 x 1764791495 x 997493887 x 383657673 x 19435
Negative: -1 x -149124755-5 x -29824951-13 x -11471135-23 x -6483685-65 x -2294227-115 x -1296737-169 x -882395-299 x -498745-845 x -176479-1495 x -99749-3887 x -38365-7673 x -19435


How do I find the factor combinations of the number 149,124,755?

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 149,124,755, 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.

1 149,124,755
-1 -149,124,755

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 149,124,755.

Example:
1 x 149,124,755 = 149,124,755
and
-1 x -149,124,755 = 149,124,755
Notice both answers equal 149,124,755

With that explanation out of the way, let's continue. Next, we take the number 149,124,755 and divide it by 2:

149,124,755 ÷ 2 = 74,562,377.5

If the quotient is a whole number, then 2 and 74,562,377.5 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:

1 149,124,755
-1 -149,124,755

Now, we try dividing 149,124,755 by 3:

149,124,755 ÷ 3 = 49,708,251.6667

If the quotient is a whole number, then 3 and 49,708,251.6667 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:

1 149,124,755
-1 -149,124,755

Let's try dividing by 4:

149,124,755 ÷ 4 = 37,281,188.75

If the quotient is a whole number, then 4 and 37,281,188.75 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:

1 149,124,755
-1 149,124,755
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651151692998451,4953,8877,67319,43538,36599,749176,479498,745882,3951,296,7372,294,2276,483,68511,471,13529,824,951149,124,755
-1-5-13-23-65-115-169-299-845-1,495-3,887-7,673-19,435-38,365-99,749-176,479-498,745-882,395-1,296,737-2,294,227-6,483,685-11,471,135-29,824,951-149,124,755

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