Q: What are the factor combinations of the number 150,666,545?

 A:
Positive:   1 x 1506665455 x 3013330953 x 2842765265 x 568553509 x 2960051117 x 1348852545 x 592015585 x 26977
Negative: -1 x -150666545-5 x -30133309-53 x -2842765-265 x -568553-509 x -296005-1117 x -134885-2545 x -59201-5585 x -26977


How do I find the factor combinations of the number 150,666,545?

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 150,666,545, 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.

1 150,666,545
-1 -150,666,545

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 150,666,545.

Example:
1 x 150,666,545 = 150,666,545
and
-1 x -150,666,545 = 150,666,545
Notice both answers equal 150,666,545

With that explanation out of the way, let's continue. Next, we take the number 150,666,545 and divide it by 2:

150,666,545 ÷ 2 = 75,333,272.5

If the quotient is a whole number, then 2 and 75,333,272.5 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:

1 150,666,545
-1 -150,666,545

Now, we try dividing 150,666,545 by 3:

150,666,545 ÷ 3 = 50,222,181.6667

If the quotient is a whole number, then 3 and 50,222,181.6667 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:

1 150,666,545
-1 -150,666,545

Let's try dividing by 4:

150,666,545 ÷ 4 = 37,666,636.25

If the quotient is a whole number, then 4 and 37,666,636.25 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:

1 150,666,545
-1 150,666,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15532655091,1172,5455,58526,97759,201134,885296,005568,5532,842,76530,133,309150,666,545
-1-5-53-265-509-1,117-2,545-5,585-26,977-59,201-134,885-296,005-568,553-2,842,765-30,133,309-150,666,545

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