Q: What are the factor combinations of the number 1,468,493?

 A:
Positive:   1 x 146849313 x 11296137 x 3968943 x 3415171 x 20683481 x 3053559 x 2627923 x 1591
Negative: -1 x -1468493-13 x -112961-37 x -39689-43 x -34151-71 x -20683-481 x -3053-559 x -2627-923 x -1591


How do I find the factor combinations of the number 1,468,493?

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 1,468,493, 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 1,468,493
-1 -1,468,493

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 1,468,493.

Example:
1 x 1,468,493 = 1,468,493
and
-1 x -1,468,493 = 1,468,493
Notice both answers equal 1,468,493

With that explanation out of the way, let's continue. Next, we take the number 1,468,493 and divide it by 2:

1,468,493 ÷ 2 = 734,246.5

If the quotient is a whole number, then 2 and 734,246.5 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 1,468,493
-1 -1,468,493

Now, we try dividing 1,468,493 by 3:

1,468,493 ÷ 3 = 489,497.6667

If the quotient is a whole number, then 3 and 489,497.6667 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 1,468,493
-1 -1,468,493

Let's try dividing by 4:

1,468,493 ÷ 4 = 367,123.25

If the quotient is a whole number, then 4 and 367,123.25 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 1,468,493
-1 1,468,493
Keep dividing by the next highest number until you cannot divide anymore.

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

1133743714815599231,5912,6273,05320,68334,15139,689112,9611,468,493
-1-13-37-43-71-481-559-923-1,591-2,627-3,053-20,683-34,151-39,689-112,961-1,468,493

More Examples

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