Q: What are the factor combinations of the number 200,033,015?

 A:
Positive:   1 x 2000330155 x 400066037 x 2857614513 x 1538715535 x 571522965 x 307743191 x 2198165137 x 1460095455 x 439633685 x 292019959 x 2085851781 x 1123153209 x 623354795 x 417178905 x 2246312467 x 16045
Negative: -1 x -200033015-5 x -40006603-7 x -28576145-13 x -15387155-35 x -5715229-65 x -3077431-91 x -2198165-137 x -1460095-455 x -439633-685 x -292019-959 x -208585-1781 x -112315-3209 x -62335-4795 x -41717-8905 x -22463-12467 x -16045


How do I find the factor combinations of the number 200,033,015?

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 200,033,015, 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.

1 200,033,015
-1 -200,033,015

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 200,033,015.

Example:
1 x 200,033,015 = 200,033,015
and
-1 x -200,033,015 = 200,033,015
Notice both answers equal 200,033,015

With that explanation out of the way, let's continue. Next, we take the number 200,033,015 and divide it by 2:

200,033,015 ÷ 2 = 100,016,507.5

If the quotient is a whole number, then 2 and 100,016,507.5 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:

1 200,033,015
-1 -200,033,015

Now, we try dividing 200,033,015 by 3:

200,033,015 ÷ 3 = 66,677,671.6667

If the quotient is a whole number, then 3 and 66,677,671.6667 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:

1 200,033,015
-1 -200,033,015

Let's try dividing by 4:

200,033,015 ÷ 4 = 50,008,253.75

If the quotient is a whole number, then 4 and 50,008,253.75 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:

1 200,033,015
-1 200,033,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911374556859591,7813,2094,7958,90512,46716,04522,46341,71762,335112,315208,585292,019439,6331,460,0952,198,1653,077,4315,715,22915,387,15528,576,14540,006,603200,033,015
-1-5-7-13-35-65-91-137-455-685-959-1,781-3,209-4,795-8,905-12,467-16,045-22,463-41,717-62,335-112,315-208,585-292,019-439,633-1,460,095-2,198,165-3,077,431-5,715,229-15,387,155-28,576,145-40,006,603-200,033,015

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