Q: What are the factor combinations of the number 4,693,931?

 A:
Positive:   1 x 469393111 x 42672119 x 24704937 x 126863209 x 22459407 x 11533607 x 7733703 x 6677
Negative: -1 x -4693931-11 x -426721-19 x -247049-37 x -126863-209 x -22459-407 x -11533-607 x -7733-703 x -6677


How do I find the factor combinations of the number 4,693,931?

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 4,693,931, 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 4,693,931
-1 -4,693,931

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 4,693,931.

Example:
1 x 4,693,931 = 4,693,931
and
-1 x -4,693,931 = 4,693,931
Notice both answers equal 4,693,931

With that explanation out of the way, let's continue. Next, we take the number 4,693,931 and divide it by 2:

4,693,931 ÷ 2 = 2,346,965.5

If the quotient is a whole number, then 2 and 2,346,965.5 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 4,693,931
-1 -4,693,931

Now, we try dividing 4,693,931 by 3:

4,693,931 ÷ 3 = 1,564,643.6667

If the quotient is a whole number, then 3 and 1,564,643.6667 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 4,693,931
-1 -4,693,931

Let's try dividing by 4:

4,693,931 ÷ 4 = 1,173,482.75

If the quotient is a whole number, then 4 and 1,173,482.75 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 4,693,931
-1 4,693,931
Keep dividing by the next highest number until you cannot divide anymore.

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

11119372094076077036,6777,73311,53322,459126,863247,049426,7214,693,931
-1-11-19-37-209-407-607-703-6,677-7,733-11,533-22,459-126,863-247,049-426,721-4,693,931

More Examples

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