Q: What are the factor combinations of the number 1,372,835?

 A:
Positive:   1 x 13728355 x 27456717 x 8075531 x 4428585 x 16151155 x 8857521 x 2635527 x 2605
Negative: -1 x -1372835-5 x -274567-17 x -80755-31 x -44285-85 x -16151-155 x -8857-521 x -2635-527 x -2605


How do I find the factor combinations of the number 1,372,835?

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 1,372,835, 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 1,372,835
-1 -1,372,835

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 1,372,835.

Example:
1 x 1,372,835 = 1,372,835
and
-1 x -1,372,835 = 1,372,835
Notice both answers equal 1,372,835

With that explanation out of the way, let's continue. Next, we take the number 1,372,835 and divide it by 2:

1,372,835 ÷ 2 = 686,417.5

If the quotient is a whole number, then 2 and 686,417.5 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 1,372,835
-1 -1,372,835

Now, we try dividing 1,372,835 by 3:

1,372,835 ÷ 3 = 457,611.6667

If the quotient is a whole number, then 3 and 457,611.6667 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 1,372,835
-1 -1,372,835

Let's try dividing by 4:

1,372,835 ÷ 4 = 343,208.75

If the quotient is a whole number, then 4 and 343,208.75 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 1,372,835
-1 1,372,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151731851555215272,6052,6358,85716,15144,28580,755274,5671,372,835
-1-5-17-31-85-155-521-527-2,605-2,635-8,857-16,151-44,285-80,755-274,567-1,372,835

More Examples

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