Q: What are the factor combinations of the number 200,210,101?

 A:
Positive:   1 x 2002101017 x 2860144313 x 1540077723 x 870478791 x 2200111161 x 1243541299 x 669599529 x 3784692093 x 956573703 x 540674159 x 481396877 x 29113
Negative: -1 x -200210101-7 x -28601443-13 x -15400777-23 x -8704787-91 x -2200111-161 x -1243541-299 x -669599-529 x -378469-2093 x -95657-3703 x -54067-4159 x -48139-6877 x -29113


How do I find the factor combinations of the number 200,210,101?

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 200,210,101, 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.

1 200,210,101
-1 -200,210,101

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 200,210,101.

Example:
1 x 200,210,101 = 200,210,101
and
-1 x -200,210,101 = 200,210,101
Notice both answers equal 200,210,101

With that explanation out of the way, let's continue. Next, we take the number 200,210,101 and divide it by 2:

200,210,101 ÷ 2 = 100,105,050.5

If the quotient is a whole number, then 2 and 100,105,050.5 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:

1 200,210,101
-1 -200,210,101

Now, we try dividing 200,210,101 by 3:

200,210,101 ÷ 3 = 66,736,700.3333

If the quotient is a whole number, then 3 and 66,736,700.3333 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:

1 200,210,101
-1 -200,210,101

Let's try dividing by 4:

200,210,101 ÷ 4 = 50,052,525.25

If the quotient is a whole number, then 4 and 50,052,525.25 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:

1 200,210,101
-1 200,210,101
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612995292,0933,7034,1596,87729,11348,13954,06795,657378,469669,5991,243,5412,200,1118,704,78715,400,77728,601,443200,210,101
-1-7-13-23-91-161-299-529-2,093-3,703-4,159-6,877-29,113-48,139-54,067-95,657-378,469-669,599-1,243,541-2,200,111-8,704,787-15,400,777-28,601,443-200,210,101

More Examples

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