Q: What are the factor combinations of the number 485,034,715?

 A:
Positive:   1 x 4850347155 x 9700694311 x 4409406529 x 1672533541 x 1183011555 x 8818813145 x 3345067205 x 2366023319 x 1520485451 x 10754651189 x 4079351595 x 3040972255 x 2150935945 x 815877417 x 6539513079 x 37085
Negative: -1 x -485034715-5 x -97006943-11 x -44094065-29 x -16725335-41 x -11830115-55 x -8818813-145 x -3345067-205 x -2366023-319 x -1520485-451 x -1075465-1189 x -407935-1595 x -304097-2255 x -215093-5945 x -81587-7417 x -65395-13079 x -37085


How do I find the factor combinations of the number 485,034,715?

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 485,034,715, 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.

1 485,034,715
-1 -485,034,715

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 485,034,715.

Example:
1 x 485,034,715 = 485,034,715
and
-1 x -485,034,715 = 485,034,715
Notice both answers equal 485,034,715

With that explanation out of the way, let's continue. Next, we take the number 485,034,715 and divide it by 2:

485,034,715 ÷ 2 = 242,517,357.5

If the quotient is a whole number, then 2 and 242,517,357.5 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:

1 485,034,715
-1 -485,034,715

Now, we try dividing 485,034,715 by 3:

485,034,715 ÷ 3 = 161,678,238.3333

If the quotient is a whole number, then 3 and 161,678,238.3333 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:

1 485,034,715
-1 -485,034,715

Let's try dividing by 4:

485,034,715 ÷ 4 = 121,258,678.75

If the quotient is a whole number, then 4 and 121,258,678.75 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:

1 485,034,715
-1 485,034,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15112941551452053194511,1891,5952,2555,9457,41713,07937,08565,39581,587215,093304,097407,9351,075,4651,520,4852,366,0233,345,0678,818,81311,830,11516,725,33544,094,06597,006,943485,034,715
-1-5-11-29-41-55-145-205-319-451-1,189-1,595-2,255-5,945-7,417-13,079-37,085-65,395-81,587-215,093-304,097-407,935-1,075,465-1,520,485-2,366,023-3,345,067-8,818,813-11,830,115-16,725,335-44,094,065-97,006,943-485,034,715

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