Q: What are the factor combinations of the number 1,353,443?

 A:
Positive:   1 x 13534437 x 19334913 x 10411191 x 14873107 x 12649139 x 9737749 x 1807973 x 1391
Negative: -1 x -1353443-7 x -193349-13 x -104111-91 x -14873-107 x -12649-139 x -9737-749 x -1807-973 x -1391


How do I find the factor combinations of the number 1,353,443?

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 1,353,443, 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 1,353,443
-1 -1,353,443

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 1,353,443.

Example:
1 x 1,353,443 = 1,353,443
and
-1 x -1,353,443 = 1,353,443
Notice both answers equal 1,353,443

With that explanation out of the way, let's continue. Next, we take the number 1,353,443 and divide it by 2:

1,353,443 ÷ 2 = 676,721.5

If the quotient is a whole number, then 2 and 676,721.5 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 1,353,443
-1 -1,353,443

Now, we try dividing 1,353,443 by 3:

1,353,443 ÷ 3 = 451,147.6667

If the quotient is a whole number, then 3 and 451,147.6667 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 1,353,443
-1 -1,353,443

Let's try dividing by 4:

1,353,443 ÷ 4 = 338,360.75

If the quotient is a whole number, then 4 and 338,360.75 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 1,353,443
-1 1,353,443
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911071397499731,3911,8079,73712,64914,873104,111193,3491,353,443
-1-7-13-91-107-139-749-973-1,391-1,807-9,737-12,649-14,873-104,111-193,349-1,353,443

More Examples

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