Q: What are the factor combinations of the number 1,642,501?

 A:
Positive:   1 x 16425017 x 23464341 x 4006159 x 2783997 x 16933287 x 5723413 x 3977679 x 2419
Negative: -1 x -1642501-7 x -234643-41 x -40061-59 x -27839-97 x -16933-287 x -5723-413 x -3977-679 x -2419


How do I find the factor combinations of the number 1,642,501?

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 1,642,501, 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 1,642,501
-1 -1,642,501

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 1,642,501.

Example:
1 x 1,642,501 = 1,642,501
and
-1 x -1,642,501 = 1,642,501
Notice both answers equal 1,642,501

With that explanation out of the way, let's continue. Next, we take the number 1,642,501 and divide it by 2:

1,642,501 ÷ 2 = 821,250.5

If the quotient is a whole number, then 2 and 821,250.5 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 1,642,501
-1 -1,642,501

Now, we try dividing 1,642,501 by 3:

1,642,501 ÷ 3 = 547,500.3333

If the quotient is a whole number, then 3 and 547,500.3333 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 1,642,501
-1 -1,642,501

Let's try dividing by 4:

1,642,501 ÷ 4 = 410,625.25

If the quotient is a whole number, then 4 and 410,625.25 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 1,642,501
-1 1,642,501
Keep dividing by the next highest number until you cannot divide anymore.

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

174159972874136792,4193,9775,72316,93327,83940,061234,6431,642,501
-1-7-41-59-97-287-413-679-2,419-3,977-5,723-16,933-27,839-40,061-234,643-1,642,501

More Examples

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