Q: What are the factor combinations of the number 150,013,255?

 A:
Positive:   1 x 1500132555 x 300026517 x 2143046535 x 428609349 x 3061495245 x 612299281 x 5338551405 x 1067711967 x 762652179 x 688459835 x 1525310895 x 13769
Negative: -1 x -150013255-5 x -30002651-7 x -21430465-35 x -4286093-49 x -3061495-245 x -612299-281 x -533855-1405 x -106771-1967 x -76265-2179 x -68845-9835 x -15253-10895 x -13769


How do I find the factor combinations of the number 150,013,255?

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 150,013,255, 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.

1 150,013,255
-1 -150,013,255

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 150,013,255.

Example:
1 x 150,013,255 = 150,013,255
and
-1 x -150,013,255 = 150,013,255
Notice both answers equal 150,013,255

With that explanation out of the way, let's continue. Next, we take the number 150,013,255 and divide it by 2:

150,013,255 ÷ 2 = 75,006,627.5

If the quotient is a whole number, then 2 and 75,006,627.5 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:

1 150,013,255
-1 -150,013,255

Now, we try dividing 150,013,255 by 3:

150,013,255 ÷ 3 = 50,004,418.3333

If the quotient is a whole number, then 3 and 50,004,418.3333 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:

1 150,013,255
-1 -150,013,255

Let's try dividing by 4:

150,013,255 ÷ 4 = 37,503,313.75

If the quotient is a whole number, then 4 and 37,503,313.75 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:

1 150,013,255
-1 150,013,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492452811,4051,9672,1799,83510,89513,76915,25368,84576,265106,771533,855612,2993,061,4954,286,09321,430,46530,002,651150,013,255
-1-5-7-35-49-245-281-1,405-1,967-2,179-9,835-10,895-13,769-15,253-68,845-76,265-106,771-533,855-612,299-3,061,495-4,286,093-21,430,465-30,002,651-150,013,255

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