Q: What are the factor combinations of the number 6,343,225?

 A:
Positive:   1 x 63432255 x 12686457 x 90617525 x 25372935 x 18123567 x 94675175 x 36247335 x 18935469 x 13525541 x 117251675 x 37872345 x 2705
Negative: -1 x -6343225-5 x -1268645-7 x -906175-25 x -253729-35 x -181235-67 x -94675-175 x -36247-335 x -18935-469 x -13525-541 x -11725-1675 x -3787-2345 x -2705


How do I find the factor combinations of the number 6,343,225?

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 6,343,225, 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 6,343,225
-1 -6,343,225

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 6,343,225.

Example:
1 x 6,343,225 = 6,343,225
and
-1 x -6,343,225 = 6,343,225
Notice both answers equal 6,343,225

With that explanation out of the way, let's continue. Next, we take the number 6,343,225 and divide it by 2:

6,343,225 ÷ 2 = 3,171,612.5

If the quotient is a whole number, then 2 and 3,171,612.5 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 6,343,225
-1 -6,343,225

Now, we try dividing 6,343,225 by 3:

6,343,225 ÷ 3 = 2,114,408.3333

If the quotient is a whole number, then 3 and 2,114,408.3333 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 6,343,225
-1 -6,343,225

Let's try dividing by 4:

6,343,225 ÷ 4 = 1,585,806.25

If the quotient is a whole number, then 4 and 1,585,806.25 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 6,343,225
-1 6,343,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535671753354695411,6752,3452,7053,78711,72513,52518,93536,24794,675181,235253,729906,1751,268,6456,343,225
-1-5-7-25-35-67-175-335-469-541-1,675-2,345-2,705-3,787-11,725-13,525-18,935-36,247-94,675-181,235-253,729-906,175-1,268,645-6,343,225

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