Q: What are the factor combinations of the number 4,225,655?

 A:
Positive:   1 x 42256555 x 8451317 x 60366535 x 120733157 x 26915769 x 5495785 x 53831099 x 3845
Negative: -1 x -4225655-5 x -845131-7 x -603665-35 x -120733-157 x -26915-769 x -5495-785 x -5383-1099 x -3845


How do I find the factor combinations of the number 4,225,655?

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 4,225,655, 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 4,225,655
-1 -4,225,655

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 4,225,655.

Example:
1 x 4,225,655 = 4,225,655
and
-1 x -4,225,655 = 4,225,655
Notice both answers equal 4,225,655

With that explanation out of the way, let's continue. Next, we take the number 4,225,655 and divide it by 2:

4,225,655 ÷ 2 = 2,112,827.5

If the quotient is a whole number, then 2 and 2,112,827.5 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 4,225,655
-1 -4,225,655

Now, we try dividing 4,225,655 by 3:

4,225,655 ÷ 3 = 1,408,551.6667

If the quotient is a whole number, then 3 and 1,408,551.6667 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 4,225,655
-1 -4,225,655

Let's try dividing by 4:

4,225,655 ÷ 4 = 1,056,413.75

If the quotient is a whole number, then 4 and 1,056,413.75 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 4,225,655
-1 4,225,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157351577697851,0993,8455,3835,49526,915120,733603,665845,1314,225,655
-1-5-7-35-157-769-785-1,099-3,845-5,383-5,495-26,915-120,733-603,665-845,131-4,225,655

More Examples

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