Q: What are the factor combinations of the number 165,171,655?

 A:
Positive:   1 x 1651716555 x 3303433111 x 1501560519 x 869324555 x 300312195 x 1738649121 x 1365055209 x 790295605 x 2730111045 x 1580592299 x 7184511495 x 14369
Negative: -1 x -165171655-5 x -33034331-11 x -15015605-19 x -8693245-55 x -3003121-95 x -1738649-121 x -1365055-209 x -790295-605 x -273011-1045 x -158059-2299 x -71845-11495 x -14369


How do I find the factor combinations of the number 165,171,655?

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 165,171,655, 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.

1 165,171,655
-1 -165,171,655

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 165,171,655.

Example:
1 x 165,171,655 = 165,171,655
and
-1 x -165,171,655 = 165,171,655
Notice both answers equal 165,171,655

With that explanation out of the way, let's continue. Next, we take the number 165,171,655 and divide it by 2:

165,171,655 ÷ 2 = 82,585,827.5

If the quotient is a whole number, then 2 and 82,585,827.5 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:

1 165,171,655
-1 -165,171,655

Now, we try dividing 165,171,655 by 3:

165,171,655 ÷ 3 = 55,057,218.3333

If the quotient is a whole number, then 3 and 55,057,218.3333 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:

1 165,171,655
-1 -165,171,655

Let's try dividing by 4:

165,171,655 ÷ 4 = 41,292,913.75

If the quotient is a whole number, then 4 and 41,292,913.75 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:

1 165,171,655
-1 165,171,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955951212096051,0452,29911,49514,36971,845158,059273,011790,2951,365,0551,738,6493,003,1218,693,24515,015,60533,034,331165,171,655
-1-5-11-19-55-95-121-209-605-1,045-2,299-11,495-14,369-71,845-158,059-273,011-790,295-1,365,055-1,738,649-3,003,121-8,693,245-15,015,605-33,034,331-165,171,655

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