Q: What are the factor combinations of the number 3,770,845?

 A:
Positive:   1 x 37708455 x 75416913 x 29006565 x 58013
Negative: -1 x -3770845-5 x -754169-13 x -290065-65 x -58013


How do I find the factor combinations of the number 3,770,845?

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 3,770,845, 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 3,770,845
-1 -3,770,845

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 3,770,845.

Example:
1 x 3,770,845 = 3,770,845
and
-1 x -3,770,845 = 3,770,845
Notice both answers equal 3,770,845

With that explanation out of the way, let's continue. Next, we take the number 3,770,845 and divide it by 2:

3,770,845 ÷ 2 = 1,885,422.5

If the quotient is a whole number, then 2 and 1,885,422.5 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 3,770,845
-1 -3,770,845

Now, we try dividing 3,770,845 by 3:

3,770,845 ÷ 3 = 1,256,948.3333

If the quotient is a whole number, then 3 and 1,256,948.3333 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 3,770,845
-1 -3,770,845

Let's try dividing by 4:

3,770,845 ÷ 4 = 942,711.25

If the quotient is a whole number, then 4 and 942,711.25 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 3,770,845
-1 3,770,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15136558,013290,065754,1693,770,845
-1-5-13-65-58,013-290,065-754,169-3,770,845

More Examples

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