Q: What are the factor combinations of the number 1,028,027?

 A:
Positive:   1 x 10280277 x 14686111 x 9345713 x 7907977 x 1335179 x 1301391 x 11297143 x 7189169 x 6083553 x 1859869 x 11831001 x 1027
Negative: -1 x -1028027-7 x -146861-11 x -93457-13 x -79079-77 x -13351-79 x -13013-91 x -11297-143 x -7189-169 x -6083-553 x -1859-869 x -1183-1001 x -1027


How do I find the factor combinations of the number 1,028,027?

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 1,028,027, 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 1,028,027
-1 -1,028,027

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 1,028,027.

Example:
1 x 1,028,027 = 1,028,027
and
-1 x -1,028,027 = 1,028,027
Notice both answers equal 1,028,027

With that explanation out of the way, let's continue. Next, we take the number 1,028,027 and divide it by 2:

1,028,027 ÷ 2 = 514,013.5

If the quotient is a whole number, then 2 and 514,013.5 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 1,028,027
-1 -1,028,027

Now, we try dividing 1,028,027 by 3:

1,028,027 ÷ 3 = 342,675.6667

If the quotient is a whole number, then 3 and 342,675.6667 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 1,028,027
-1 -1,028,027

Let's try dividing by 4:

1,028,027 ÷ 4 = 257,006.75

If the quotient is a whole number, then 4 and 257,006.75 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 1,028,027
-1 1,028,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1711137779911431695538691,0011,0271,1831,8596,0837,18911,29713,01313,35179,07993,457146,8611,028,027
-1-7-11-13-77-79-91-143-169-553-869-1,001-1,027-1,183-1,859-6,083-7,189-11,297-13,013-13,351-79,079-93,457-146,861-1,028,027

More Examples

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