Q: What are the factor combinations of the number 3,670,733?

 A:
Positive:   1 x 367073311 x 33370329 x 12657737 x 99209311 x 11803319 x 11507407 x 90191073 x 3421
Negative: -1 x -3670733-11 x -333703-29 x -126577-37 x -99209-311 x -11803-319 x -11507-407 x -9019-1073 x -3421


How do I find the factor combinations of the number 3,670,733?

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 3,670,733, 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 3,670,733
-1 -3,670,733

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 3,670,733.

Example:
1 x 3,670,733 = 3,670,733
and
-1 x -3,670,733 = 3,670,733
Notice both answers equal 3,670,733

With that explanation out of the way, let's continue. Next, we take the number 3,670,733 and divide it by 2:

3,670,733 ÷ 2 = 1,835,366.5

If the quotient is a whole number, then 2 and 1,835,366.5 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 3,670,733
-1 -3,670,733

Now, we try dividing 3,670,733 by 3:

3,670,733 ÷ 3 = 1,223,577.6667

If the quotient is a whole number, then 3 and 1,223,577.6667 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 3,670,733
-1 -3,670,733

Let's try dividing by 4:

3,670,733 ÷ 4 = 917,683.25

If the quotient is a whole number, then 4 and 917,683.25 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 3,670,733
-1 3,670,733
Keep dividing by the next highest number until you cannot divide anymore.

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

11129373113194071,0733,4219,01911,50711,80399,209126,577333,7033,670,733
-1-11-29-37-311-319-407-1,073-3,421-9,019-11,507-11,803-99,209-126,577-333,703-3,670,733

More Examples

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