Q: What are the factor combinations of the number 165,243,455?

 A:
Positive:   1 x 1652434555 x 3304869113 x 1271103565 x 254220783 x 1990885109 x 1515995281 x 588055415 x 398177545 x 3031991079 x 1531451405 x 1176111417 x 1166153653 x 452355395 x 306297085 x 233239047 x 18265
Negative: -1 x -165243455-5 x -33048691-13 x -12711035-65 x -2542207-83 x -1990885-109 x -1515995-281 x -588055-415 x -398177-545 x -303199-1079 x -153145-1405 x -117611-1417 x -116615-3653 x -45235-5395 x -30629-7085 x -23323-9047 x -18265


How do I find the factor combinations of the number 165,243,455?

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 165,243,455, 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.

1 165,243,455
-1 -165,243,455

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 165,243,455.

Example:
1 x 165,243,455 = 165,243,455
and
-1 x -165,243,455 = 165,243,455
Notice both answers equal 165,243,455

With that explanation out of the way, let's continue. Next, we take the number 165,243,455 and divide it by 2:

165,243,455 ÷ 2 = 82,621,727.5

If the quotient is a whole number, then 2 and 82,621,727.5 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:

1 165,243,455
-1 -165,243,455

Now, we try dividing 165,243,455 by 3:

165,243,455 ÷ 3 = 55,081,151.6667

If the quotient is a whole number, then 3 and 55,081,151.6667 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:

1 165,243,455
-1 -165,243,455

Let's try dividing by 4:

165,243,455 ÷ 4 = 41,310,863.75

If the quotient is a whole number, then 4 and 41,310,863.75 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:

1 165,243,455
-1 165,243,455
Keep dividing by the next highest number until you cannot divide anymore.

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

151365831092814155451,0791,4051,4173,6535,3957,0859,04718,26523,32330,62945,235116,615117,611153,145303,199398,177588,0551,515,9951,990,8852,542,20712,711,03533,048,691165,243,455
-1-5-13-65-83-109-281-415-545-1,079-1,405-1,417-3,653-5,395-7,085-9,047-18,265-23,323-30,629-45,235-116,615-117,611-153,145-303,199-398,177-588,055-1,515,995-1,990,885-2,542,207-12,711,035-33,048,691-165,243,455

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