Q: What are the factor combinations of the number 1,371,097?

 A:
Positive:   1 x 13710977 x 19587113 x 10546919 x 7216361 x 2247791 x 15067133 x 10309169 x 8113247 x 5551427 x 3211793 x 17291159 x 1183
Negative: -1 x -1371097-7 x -195871-13 x -105469-19 x -72163-61 x -22477-91 x -15067-133 x -10309-169 x -8113-247 x -5551-427 x -3211-793 x -1729-1159 x -1183


How do I find the factor combinations of the number 1,371,097?

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 1,371,097, 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 1,371,097
-1 -1,371,097

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 1,371,097.

Example:
1 x 1,371,097 = 1,371,097
and
-1 x -1,371,097 = 1,371,097
Notice both answers equal 1,371,097

With that explanation out of the way, let's continue. Next, we take the number 1,371,097 and divide it by 2:

1,371,097 ÷ 2 = 685,548.5

If the quotient is a whole number, then 2 and 685,548.5 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 1,371,097
-1 -1,371,097

Now, we try dividing 1,371,097 by 3:

1,371,097 ÷ 3 = 457,032.3333

If the quotient is a whole number, then 3 and 457,032.3333 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 1,371,097
-1 -1,371,097

Let's try dividing by 4:

1,371,097 ÷ 4 = 342,774.25

If the quotient is a whole number, then 4 and 342,774.25 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 1,371,097
-1 1,371,097
Keep dividing by the next highest number until you cannot divide anymore.

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

17131961911331692474277931,1591,1831,7293,2115,5518,11310,30915,06722,47772,163105,469195,8711,371,097
-1-7-13-19-61-91-133-169-247-427-793-1,159-1,183-1,729-3,211-5,551-8,113-10,309-15,067-22,477-72,163-105,469-195,871-1,371,097

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