Q: What are the factor combinations of the number 3,425,653?

 A:
Positive:   1 x 34256537 x 48937911 x 31142317 x 20150977 x 44489119 x 28787187 x 183191309 x 2617
Negative: -1 x -3425653-7 x -489379-11 x -311423-17 x -201509-77 x -44489-119 x -28787-187 x -18319-1309 x -2617


How do I find the factor combinations of the number 3,425,653?

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 3,425,653, 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 3,425,653
-1 -3,425,653

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 3,425,653.

Example:
1 x 3,425,653 = 3,425,653
and
-1 x -3,425,653 = 3,425,653
Notice both answers equal 3,425,653

With that explanation out of the way, let's continue. Next, we take the number 3,425,653 and divide it by 2:

3,425,653 ÷ 2 = 1,712,826.5

If the quotient is a whole number, then 2 and 1,712,826.5 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 3,425,653
-1 -3,425,653

Now, we try dividing 3,425,653 by 3:

3,425,653 ÷ 3 = 1,141,884.3333

If the quotient is a whole number, then 3 and 1,141,884.3333 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 3,425,653
-1 -3,425,653

Let's try dividing by 4:

3,425,653 ÷ 4 = 856,413.25

If the quotient is a whole number, then 4 and 856,413.25 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 3,425,653
-1 3,425,653
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,3092,61718,31928,78744,489201,509311,423489,3793,425,653
-1-7-11-17-77-119-187-1,309-2,617-18,319-28,787-44,489-201,509-311,423-489,379-3,425,653

More Examples

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