Q: What are the factor combinations of the number 150,354,127?

 A:
Positive:   1 x 1503541277 x 2147916111 x 1366855777 x 1952651173 x 8690991211 x 1241571903 x 7900911287 x 13321
Negative: -1 x -150354127-7 x -21479161-11 x -13668557-77 x -1952651-173 x -869099-1211 x -124157-1903 x -79009-11287 x -13321


How do I find the factor combinations of the number 150,354,127?

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 150,354,127, 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.

1 150,354,127
-1 -150,354,127

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 150,354,127.

Example:
1 x 150,354,127 = 150,354,127
and
-1 x -150,354,127 = 150,354,127
Notice both answers equal 150,354,127

With that explanation out of the way, let's continue. Next, we take the number 150,354,127 and divide it by 2:

150,354,127 ÷ 2 = 75,177,063.5

If the quotient is a whole number, then 2 and 75,177,063.5 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:

1 150,354,127
-1 -150,354,127

Now, we try dividing 150,354,127 by 3:

150,354,127 ÷ 3 = 50,118,042.3333

If the quotient is a whole number, then 3 and 50,118,042.3333 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:

1 150,354,127
-1 -150,354,127

Let's try dividing by 4:

150,354,127 ÷ 4 = 37,588,531.75

If the quotient is a whole number, then 4 and 37,588,531.75 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:

1 150,354,127
-1 150,354,127
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771731,2111,90311,28713,32179,009124,157869,0991,952,65113,668,55721,479,161150,354,127
-1-7-11-77-173-1,211-1,903-11,287-13,321-79,009-124,157-869,099-1,952,651-13,668,557-21,479,161-150,354,127

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