Q: What are the factor combinations of the number 202,012,013?

 A:
Positive:   1 x 2020120137 x 2885885923 x 8783131161 x 1254733
Negative: -1 x -202012013-7 x -28858859-23 x -8783131-161 x -1254733


How do I find the factor combinations of the number 202,012,013?

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 202,012,013, 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.

1 202,012,013
-1 -202,012,013

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 202,012,013.

Example:
1 x 202,012,013 = 202,012,013
and
-1 x -202,012,013 = 202,012,013
Notice both answers equal 202,012,013

With that explanation out of the way, let's continue. Next, we take the number 202,012,013 and divide it by 2:

202,012,013 ÷ 2 = 101,006,006.5

If the quotient is a whole number, then 2 and 101,006,006.5 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:

1 202,012,013
-1 -202,012,013

Now, we try dividing 202,012,013 by 3:

202,012,013 ÷ 3 = 67,337,337.6667

If the quotient is a whole number, then 3 and 67,337,337.6667 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:

1 202,012,013
-1 -202,012,013

Let's try dividing by 4:

202,012,013 ÷ 4 = 50,503,003.25

If the quotient is a whole number, then 4 and 50,503,003.25 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:

1 202,012,013
-1 202,012,013
Keep dividing by the next highest number until you cannot divide anymore.

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

17231611,254,7338,783,13128,858,859202,012,013
-1-7-23-161-1,254,733-8,783,131-28,858,859-202,012,013

More Examples

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