Q: What are the factor combinations of the number 3,700,345?

 A:
Positive:   1 x 37003455 x 74006911 x 33639519 x 19475555 x 6727995 x 38951209 x 177051045 x 3541
Negative: -1 x -3700345-5 x -740069-11 x -336395-19 x -194755-55 x -67279-95 x -38951-209 x -17705-1045 x -3541


How do I find the factor combinations of the number 3,700,345?

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 3,700,345, 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 3,700,345
-1 -3,700,345

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 3,700,345.

Example:
1 x 3,700,345 = 3,700,345
and
-1 x -3,700,345 = 3,700,345
Notice both answers equal 3,700,345

With that explanation out of the way, let's continue. Next, we take the number 3,700,345 and divide it by 2:

3,700,345 ÷ 2 = 1,850,172.5

If the quotient is a whole number, then 2 and 1,850,172.5 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 3,700,345
-1 -3,700,345

Now, we try dividing 3,700,345 by 3:

3,700,345 ÷ 3 = 1,233,448.3333

If the quotient is a whole number, then 3 and 1,233,448.3333 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 3,700,345
-1 -3,700,345

Let's try dividing by 4:

3,700,345 ÷ 4 = 925,086.25

If the quotient is a whole number, then 4 and 925,086.25 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 3,700,345
-1 3,700,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,0453,54117,70538,95167,279194,755336,395740,0693,700,345
-1-5-11-19-55-95-209-1,045-3,541-17,705-38,951-67,279-194,755-336,395-740,069-3,700,345

More Examples

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