Q: What are the factor combinations of the number 3,164,431?

 A:
Positive:   1 x 316443117 x 18614319 x 16654997 x 32623101 x 31331323 x 97971649 x 19191717 x 1843
Negative: -1 x -3164431-17 x -186143-19 x -166549-97 x -32623-101 x -31331-323 x -9797-1649 x -1919-1717 x -1843


How do I find the factor combinations of the number 3,164,431?

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 3,164,431, 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 3,164,431
-1 -3,164,431

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 3,164,431.

Example:
1 x 3,164,431 = 3,164,431
and
-1 x -3,164,431 = 3,164,431
Notice both answers equal 3,164,431

With that explanation out of the way, let's continue. Next, we take the number 3,164,431 and divide it by 2:

3,164,431 ÷ 2 = 1,582,215.5

If the quotient is a whole number, then 2 and 1,582,215.5 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 3,164,431
-1 -3,164,431

Now, we try dividing 3,164,431 by 3:

3,164,431 ÷ 3 = 1,054,810.3333

If the quotient is a whole number, then 3 and 1,054,810.3333 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 3,164,431
-1 -3,164,431

Let's try dividing by 4:

3,164,431 ÷ 4 = 791,107.75

If the quotient is a whole number, then 4 and 791,107.75 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 3,164,431
-1 3,164,431
Keep dividing by the next highest number until you cannot divide anymore.

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

11719971013231,6491,7171,8431,9199,79731,33132,623166,549186,1433,164,431
-1-17-19-97-101-323-1,649-1,717-1,843-1,919-9,797-31,331-32,623-166,549-186,143-3,164,431

More Examples

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