Q: What are the factor combinations of the number 150,264,265?

 A:
Positive:   1 x 1502642655 x 30052853101 x 1487765149 x 1008485505 x 297553745 x 2016971997 x 752459985 x 15049
Negative: -1 x -150264265-5 x -30052853-101 x -1487765-149 x -1008485-505 x -297553-745 x -201697-1997 x -75245-9985 x -15049


How do I find the factor combinations of the number 150,264,265?

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 150,264,265, 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.

1 150,264,265
-1 -150,264,265

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 150,264,265.

Example:
1 x 150,264,265 = 150,264,265
and
-1 x -150,264,265 = 150,264,265
Notice both answers equal 150,264,265

With that explanation out of the way, let's continue. Next, we take the number 150,264,265 and divide it by 2:

150,264,265 ÷ 2 = 75,132,132.5

If the quotient is a whole number, then 2 and 75,132,132.5 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:

1 150,264,265
-1 -150,264,265

Now, we try dividing 150,264,265 by 3:

150,264,265 ÷ 3 = 50,088,088.3333

If the quotient is a whole number, then 3 and 50,088,088.3333 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:

1 150,264,265
-1 -150,264,265

Let's try dividing by 4:

150,264,265 ÷ 4 = 37,566,066.25

If the quotient is a whole number, then 4 and 37,566,066.25 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:

1 150,264,265
-1 150,264,265
Keep dividing by the next highest number until you cannot divide anymore.

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

151011495057451,9979,98515,04975,245201,697297,5531,008,4851,487,76530,052,853150,264,265
-1-5-101-149-505-745-1,997-9,985-15,049-75,245-201,697-297,553-1,008,485-1,487,765-30,052,853-150,264,265

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