Q: What are the factor combinations of the number 6,422,245?

 A:
Positive:   1 x 64222455 x 1284449277 x 231851385 x 4637
Negative: -1 x -6422245-5 x -1284449-277 x -23185-1385 x -4637


How do I find the factor combinations of the number 6,422,245?

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 6,422,245, 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 6,422,245
-1 -6,422,245

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 6,422,245.

Example:
1 x 6,422,245 = 6,422,245
and
-1 x -6,422,245 = 6,422,245
Notice both answers equal 6,422,245

With that explanation out of the way, let's continue. Next, we take the number 6,422,245 and divide it by 2:

6,422,245 ÷ 2 = 3,211,122.5

If the quotient is a whole number, then 2 and 3,211,122.5 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 6,422,245
-1 -6,422,245

Now, we try dividing 6,422,245 by 3:

6,422,245 ÷ 3 = 2,140,748.3333

If the quotient is a whole number, then 3 and 2,140,748.3333 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 6,422,245
-1 -6,422,245

Let's try dividing by 4:

6,422,245 ÷ 4 = 1,605,561.25

If the quotient is a whole number, then 4 and 1,605,561.25 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 6,422,245
-1 6,422,245
Keep dividing by the next highest number until you cannot divide anymore.

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

152771,3854,63723,1851,284,4496,422,245
-1-5-277-1,385-4,637-23,185-1,284,449-6,422,245

More Examples

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