Q: What are the factor combinations of the number 4,402,345?

 A:
Positive:   1 x 44023455 x 88046929 x 15180597 x 45385145 x 30361313 x 14065485 x 90771565 x 2813
Negative: -1 x -4402345-5 x -880469-29 x -151805-97 x -45385-145 x -30361-313 x -14065-485 x -9077-1565 x -2813


How do I find the factor combinations of the number 4,402,345?

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 4,402,345, 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 4,402,345
-1 -4,402,345

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 4,402,345.

Example:
1 x 4,402,345 = 4,402,345
and
-1 x -4,402,345 = 4,402,345
Notice both answers equal 4,402,345

With that explanation out of the way, let's continue. Next, we take the number 4,402,345 and divide it by 2:

4,402,345 ÷ 2 = 2,201,172.5

If the quotient is a whole number, then 2 and 2,201,172.5 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 4,402,345
-1 -4,402,345

Now, we try dividing 4,402,345 by 3:

4,402,345 ÷ 3 = 1,467,448.3333

If the quotient is a whole number, then 3 and 1,467,448.3333 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 4,402,345
-1 -4,402,345

Let's try dividing by 4:

4,402,345 ÷ 4 = 1,100,586.25

If the quotient is a whole number, then 4 and 1,100,586.25 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 4,402,345
-1 4,402,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1529971453134851,5652,8139,07714,06530,36145,385151,805880,4694,402,345
-1-5-29-97-145-313-485-1,565-2,813-9,077-14,065-30,361-45,385-151,805-880,469-4,402,345

More Examples

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