Q: What are the factor combinations of the number 3,742,675?

 A:
Positive:   1 x 37426755 x 74853523 x 16272525 x 149707115 x 32545283 x 13225529 x 7075575 x 65091415 x 2645
Negative: -1 x -3742675-5 x -748535-23 x -162725-25 x -149707-115 x -32545-283 x -13225-529 x -7075-575 x -6509-1415 x -2645


How do I find the factor combinations of the number 3,742,675?

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 3,742,675, 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 3,742,675
-1 -3,742,675

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 3,742,675.

Example:
1 x 3,742,675 = 3,742,675
and
-1 x -3,742,675 = 3,742,675
Notice both answers equal 3,742,675

With that explanation out of the way, let's continue. Next, we take the number 3,742,675 and divide it by 2:

3,742,675 ÷ 2 = 1,871,337.5

If the quotient is a whole number, then 2 and 1,871,337.5 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 3,742,675
-1 -3,742,675

Now, we try dividing 3,742,675 by 3:

3,742,675 ÷ 3 = 1,247,558.3333

If the quotient is a whole number, then 3 and 1,247,558.3333 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 3,742,675
-1 -3,742,675

Let's try dividing by 4:

3,742,675 ÷ 4 = 935,668.75

If the quotient is a whole number, then 4 and 935,668.75 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 3,742,675
-1 3,742,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251152835295751,4152,6456,5097,07513,22532,545149,707162,725748,5353,742,675
-1-5-23-25-115-283-529-575-1,415-2,645-6,509-7,075-13,225-32,545-149,707-162,725-748,535-3,742,675

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