Q: What are the factor combinations of the number 150,241,135?

 A:
Positive:   1 x 1502411355 x 3004822711 x 1365828555 x 273165767 x 2242405335 x 448481737 x 2038553685 x 40771
Negative: -1 x -150241135-5 x -30048227-11 x -13658285-55 x -2731657-67 x -2242405-335 x -448481-737 x -203855-3685 x -40771


How do I find the factor combinations of the number 150,241,135?

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 150,241,135, 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.

1 150,241,135
-1 -150,241,135

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 150,241,135.

Example:
1 x 150,241,135 = 150,241,135
and
-1 x -150,241,135 = 150,241,135
Notice both answers equal 150,241,135

With that explanation out of the way, let's continue. Next, we take the number 150,241,135 and divide it by 2:

150,241,135 ÷ 2 = 75,120,567.5

If the quotient is a whole number, then 2 and 75,120,567.5 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:

1 150,241,135
-1 -150,241,135

Now, we try dividing 150,241,135 by 3:

150,241,135 ÷ 3 = 50,080,378.3333

If the quotient is a whole number, then 3 and 50,080,378.3333 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:

1 150,241,135
-1 -150,241,135

Let's try dividing by 4:

150,241,135 ÷ 4 = 37,560,283.75

If the quotient is a whole number, then 4 and 37,560,283.75 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:

1 150,241,135
-1 150,241,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151155673357373,68540,771203,855448,4812,242,4052,731,65713,658,28530,048,227150,241,135
-1-5-11-55-67-335-737-3,685-40,771-203,855-448,481-2,242,405-2,731,657-13,658,285-30,048,227-150,241,135

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