Q: What are the factor combinations of the number 4,493,797?

 A:
Positive:   1 x 44937977 x 64197111 x 40852717 x 26434177 x 58361119 x 37763187 x 240311309 x 3433
Negative: -1 x -4493797-7 x -641971-11 x -408527-17 x -264341-77 x -58361-119 x -37763-187 x -24031-1309 x -3433


How do I find the factor combinations of the number 4,493,797?

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 4,493,797, 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 4,493,797
-1 -4,493,797

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 4,493,797.

Example:
1 x 4,493,797 = 4,493,797
and
-1 x -4,493,797 = 4,493,797
Notice both answers equal 4,493,797

With that explanation out of the way, let's continue. Next, we take the number 4,493,797 and divide it by 2:

4,493,797 ÷ 2 = 2,246,898.5

If the quotient is a whole number, then 2 and 2,246,898.5 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 4,493,797
-1 -4,493,797

Now, we try dividing 4,493,797 by 3:

4,493,797 ÷ 3 = 1,497,932.3333

If the quotient is a whole number, then 3 and 1,497,932.3333 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 4,493,797
-1 -4,493,797

Let's try dividing by 4:

4,493,797 ÷ 4 = 1,123,449.25

If the quotient is a whole number, then 4 and 1,123,449.25 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 4,493,797
-1 4,493,797
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,3093,43324,03137,76358,361264,341408,527641,9714,493,797
-1-7-11-17-77-119-187-1,309-3,433-24,031-37,763-58,361-264,341-408,527-641,971-4,493,797

More Examples

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