Q: What are the factor combinations of the number 150,804,815?

 A:
Positive:   1 x 1508048155 x 301609637 x 2154354535 x 4308709179 x 842485895 x 1684971253 x 1203556265 x 24071
Negative: -1 x -150804815-5 x -30160963-7 x -21543545-35 x -4308709-179 x -842485-895 x -168497-1253 x -120355-6265 x -24071


How do I find the factor combinations of the number 150,804,815?

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 150,804,815, 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.

1 150,804,815
-1 -150,804,815

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 150,804,815.

Example:
1 x 150,804,815 = 150,804,815
and
-1 x -150,804,815 = 150,804,815
Notice both answers equal 150,804,815

With that explanation out of the way, let's continue. Next, we take the number 150,804,815 and divide it by 2:

150,804,815 ÷ 2 = 75,402,407.5

If the quotient is a whole number, then 2 and 75,402,407.5 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:

1 150,804,815
-1 -150,804,815

Now, we try dividing 150,804,815 by 3:

150,804,815 ÷ 3 = 50,268,271.6667

If the quotient is a whole number, then 3 and 50,268,271.6667 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:

1 150,804,815
-1 -150,804,815

Let's try dividing by 4:

150,804,815 ÷ 4 = 37,701,203.75

If the quotient is a whole number, then 4 and 37,701,203.75 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:

1 150,804,815
-1 150,804,815
Keep dividing by the next highest number until you cannot divide anymore.

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

157351798951,2536,26524,071120,355168,497842,4854,308,70921,543,54530,160,963150,804,815
-1-5-7-35-179-895-1,253-6,265-24,071-120,355-168,497-842,485-4,308,709-21,543,545-30,160,963-150,804,815

More Examples

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