Q: What are the factor combinations of the number 83,501,201?

 A:
Positive:   1 x 835012017 x 1192874323 x 3630487161 x 518641313 x 2667771657 x 503932191 x 381117199 x 11599
Negative: -1 x -83501201-7 x -11928743-23 x -3630487-161 x -518641-313 x -266777-1657 x -50393-2191 x -38111-7199 x -11599


How do I find the factor combinations of the number 83,501,201?

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 83,501,201, 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 83,501,201
-1 -83,501,201

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 83,501,201.

Example:
1 x 83,501,201 = 83,501,201
and
-1 x -83,501,201 = 83,501,201
Notice both answers equal 83,501,201

With that explanation out of the way, let's continue. Next, we take the number 83,501,201 and divide it by 2:

83,501,201 ÷ 2 = 41,750,600.5

If the quotient is a whole number, then 2 and 41,750,600.5 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 83,501,201
-1 -83,501,201

Now, we try dividing 83,501,201 by 3:

83,501,201 ÷ 3 = 27,833,733.6667

If the quotient is a whole number, then 3 and 27,833,733.6667 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 83,501,201
-1 -83,501,201

Let's try dividing by 4:

83,501,201 ÷ 4 = 20,875,300.25

If the quotient is a whole number, then 4 and 20,875,300.25 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 83,501,201
-1 83,501,201
Keep dividing by the next highest number until you cannot divide anymore.

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

17231613131,6572,1917,19911,59938,11150,393266,777518,6413,630,48711,928,74383,501,201
-1-7-23-161-313-1,657-2,191-7,199-11,599-38,111-50,393-266,777-518,641-3,630,487-11,928,743-83,501,201

More Examples

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