Q: What are the factor combinations of the number 165,149,375?

 A:
Positive:   1 x 1651493755 x 3302987525 x 6605975125 x 1321195139 x 1188125625 x 264239695 x 2376251901 x 868753475 x 475259505 x 17375
Negative: -1 x -165149375-5 x -33029875-25 x -6605975-125 x -1321195-139 x -1188125-625 x -264239-695 x -237625-1901 x -86875-3475 x -47525-9505 x -17375


How do I find the factor combinations of the number 165,149,375?

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 165,149,375, 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.

1 165,149,375
-1 -165,149,375

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 165,149,375.

Example:
1 x 165,149,375 = 165,149,375
and
-1 x -165,149,375 = 165,149,375
Notice both answers equal 165,149,375

With that explanation out of the way, let's continue. Next, we take the number 165,149,375 and divide it by 2:

165,149,375 ÷ 2 = 82,574,687.5

If the quotient is a whole number, then 2 and 82,574,687.5 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:

1 165,149,375
-1 -165,149,375

Now, we try dividing 165,149,375 by 3:

165,149,375 ÷ 3 = 55,049,791.6667

If the quotient is a whole number, then 3 and 55,049,791.6667 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:

1 165,149,375
-1 -165,149,375

Let's try dividing by 4:

165,149,375 ÷ 4 = 41,287,343.75

If the quotient is a whole number, then 4 and 41,287,343.75 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:

1 165,149,375
-1 165,149,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251396256951,9013,4759,50517,37547,52586,875237,625264,2391,188,1251,321,1956,605,97533,029,875165,149,375
-1-5-25-125-139-625-695-1,901-3,475-9,505-17,375-47,525-86,875-237,625-264,239-1,188,125-1,321,195-6,605,975-33,029,875-165,149,375

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