Q: What are the factor combinations of the number 3,734,165?

 A:
Positive:   1 x 37341655 x 74683319 x 19653523 x 16235595 x 39307115 x 32471437 x 85451709 x 2185
Negative: -1 x -3734165-5 x -746833-19 x -196535-23 x -162355-95 x -39307-115 x -32471-437 x -8545-1709 x -2185


How do I find the factor combinations of the number 3,734,165?

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 3,734,165, 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 3,734,165
-1 -3,734,165

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 3,734,165.

Example:
1 x 3,734,165 = 3,734,165
and
-1 x -3,734,165 = 3,734,165
Notice both answers equal 3,734,165

With that explanation out of the way, let's continue. Next, we take the number 3,734,165 and divide it by 2:

3,734,165 ÷ 2 = 1,867,082.5

If the quotient is a whole number, then 2 and 1,867,082.5 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 3,734,165
-1 -3,734,165

Now, we try dividing 3,734,165 by 3:

3,734,165 ÷ 3 = 1,244,721.6667

If the quotient is a whole number, then 3 and 1,244,721.6667 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 3,734,165
-1 -3,734,165

Let's try dividing by 4:

3,734,165 ÷ 4 = 933,541.25

If the quotient is a whole number, then 4 and 933,541.25 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 3,734,165
-1 3,734,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154371,7092,1858,54532,47139,307162,355196,535746,8333,734,165
-1-5-19-23-95-115-437-1,709-2,185-8,545-32,471-39,307-162,355-196,535-746,833-3,734,165

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,734,165:


Ask a Question