Q: What are the factor combinations of the number 3,703,441?

 A:
Positive:   1 x 37034417 x 52906337 x 10009379 x 46879181 x 20461259 x 14299553 x 66971267 x 2923
Negative: -1 x -3703441-7 x -529063-37 x -100093-79 x -46879-181 x -20461-259 x -14299-553 x -6697-1267 x -2923


How do I find the factor combinations of the number 3,703,441?

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 3,703,441, 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 3,703,441
-1 -3,703,441

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 3,703,441.

Example:
1 x 3,703,441 = 3,703,441
and
-1 x -3,703,441 = 3,703,441
Notice both answers equal 3,703,441

With that explanation out of the way, let's continue. Next, we take the number 3,703,441 and divide it by 2:

3,703,441 ÷ 2 = 1,851,720.5

If the quotient is a whole number, then 2 and 1,851,720.5 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 3,703,441
-1 -3,703,441

Now, we try dividing 3,703,441 by 3:

3,703,441 ÷ 3 = 1,234,480.3333

If the quotient is a whole number, then 3 and 1,234,480.3333 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 3,703,441
-1 -3,703,441

Let's try dividing by 4:

3,703,441 ÷ 4 = 925,860.25

If the quotient is a whole number, then 4 and 925,860.25 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 3,703,441
-1 3,703,441
Keep dividing by the next highest number until you cannot divide anymore.

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

1737791812595531,2672,9236,69714,29920,46146,879100,093529,0633,703,441
-1-7-37-79-181-259-553-1,267-2,923-6,697-14,299-20,461-46,879-100,093-529,063-3,703,441

More Examples

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