Q: What are the factor combinations of the number 1,340,003?

 A:
Positive:   1 x 13400037 x 19142923 x 5826129 x 4620741 x 3268349 x 27347161 x 8323203 x 6601287 x 4669667 x 2009943 x 14211127 x 1189
Negative: -1 x -1340003-7 x -191429-23 x -58261-29 x -46207-41 x -32683-49 x -27347-161 x -8323-203 x -6601-287 x -4669-667 x -2009-943 x -1421-1127 x -1189


How do I find the factor combinations of the number 1,340,003?

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 1,340,003, 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 1,340,003
-1 -1,340,003

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 1,340,003.

Example:
1 x 1,340,003 = 1,340,003
and
-1 x -1,340,003 = 1,340,003
Notice both answers equal 1,340,003

With that explanation out of the way, let's continue. Next, we take the number 1,340,003 and divide it by 2:

1,340,003 ÷ 2 = 670,001.5

If the quotient is a whole number, then 2 and 670,001.5 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 1,340,003
-1 -1,340,003

Now, we try dividing 1,340,003 by 3:

1,340,003 ÷ 3 = 446,667.6667

If the quotient is a whole number, then 3 and 446,667.6667 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 1,340,003
-1 -1,340,003

Let's try dividing by 4:

1,340,003 ÷ 4 = 335,000.75

If the quotient is a whole number, then 4 and 335,000.75 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 1,340,003
-1 1,340,003
Keep dividing by the next highest number until you cannot divide anymore.

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

17232941491612032876679431,1271,1891,4212,0094,6696,6018,32327,34732,68346,20758,261191,4291,340,003
-1-7-23-29-41-49-161-203-287-667-943-1,127-1,189-1,421-2,009-4,669-6,601-8,323-27,347-32,683-46,207-58,261-191,429-1,340,003

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