Q: What are the factor combinations of the number 1,701,931?

 A:
Positive:   1 x 17019317 x 24313311 x 15472123 x 7399731 x 5490177 x 22103161 x 10571217 x 7843253 x 6727341 x 4991713 x 2387961 x 1771
Negative: -1 x -1701931-7 x -243133-11 x -154721-23 x -73997-31 x -54901-77 x -22103-161 x -10571-217 x -7843-253 x -6727-341 x -4991-713 x -2387-961 x -1771


How do I find the factor combinations of the number 1,701,931?

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 1,701,931, 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 1,701,931
-1 -1,701,931

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 1,701,931.

Example:
1 x 1,701,931 = 1,701,931
and
-1 x -1,701,931 = 1,701,931
Notice both answers equal 1,701,931

With that explanation out of the way, let's continue. Next, we take the number 1,701,931 and divide it by 2:

1,701,931 ÷ 2 = 850,965.5

If the quotient is a whole number, then 2 and 850,965.5 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 1,701,931
-1 -1,701,931

Now, we try dividing 1,701,931 by 3:

1,701,931 ÷ 3 = 567,310.3333

If the quotient is a whole number, then 3 and 567,310.3333 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 1,701,931
-1 -1,701,931

Let's try dividing by 4:

1,701,931 ÷ 4 = 425,482.75

If the quotient is a whole number, then 4 and 425,482.75 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 1,701,931
-1 1,701,931
Keep dividing by the next highest number until you cannot divide anymore.

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

17112331771612172533417139611,7712,3874,9916,7277,84310,57122,10354,90173,997154,721243,1331,701,931
-1-7-11-23-31-77-161-217-253-341-713-961-1,771-2,387-4,991-6,727-7,843-10,571-22,103-54,901-73,997-154,721-243,133-1,701,931

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