Q: What are the factor combinations of the number 200,012,155?

 A:
Positive:   1 x 2000121555 x 400024317 x 2857316531 x 645200535 x 571463383 x 2409785155 x 1290401217 x 921715415 x 481957581 x 3442551085 x 1843432221 x 900552573 x 777352905 x 6885111105 x 1801112865 x 15547
Negative: -1 x -200012155-5 x -40002431-7 x -28573165-31 x -6452005-35 x -5714633-83 x -2409785-155 x -1290401-217 x -921715-415 x -481957-581 x -344255-1085 x -184343-2221 x -90055-2573 x -77735-2905 x -68851-11105 x -18011-12865 x -15547


How do I find the factor combinations of the number 200,012,155?

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 200,012,155, 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.

1 200,012,155
-1 -200,012,155

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 200,012,155.

Example:
1 x 200,012,155 = 200,012,155
and
-1 x -200,012,155 = 200,012,155
Notice both answers equal 200,012,155

With that explanation out of the way, let's continue. Next, we take the number 200,012,155 and divide it by 2:

200,012,155 ÷ 2 = 100,006,077.5

If the quotient is a whole number, then 2 and 100,006,077.5 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:

1 200,012,155
-1 -200,012,155

Now, we try dividing 200,012,155 by 3:

200,012,155 ÷ 3 = 66,670,718.3333

If the quotient is a whole number, then 3 and 66,670,718.3333 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:

1 200,012,155
-1 -200,012,155

Let's try dividing by 4:

200,012,155 ÷ 4 = 50,003,038.75

If the quotient is a whole number, then 4 and 50,003,038.75 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:

1 200,012,155
-1 200,012,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1573135831552174155811,0852,2212,5732,90511,10512,86515,54718,01168,85177,73590,055184,343344,255481,957921,7151,290,4012,409,7855,714,6336,452,00528,573,16540,002,431200,012,155
-1-5-7-31-35-83-155-217-415-581-1,085-2,221-2,573-2,905-11,105-12,865-15,547-18,011-68,851-77,735-90,055-184,343-344,255-481,957-921,715-1,290,401-2,409,785-5,714,633-6,452,005-28,573,165-40,002,431-200,012,155

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