Q: What are the factor combinations of the number 1,642,487?

 A:
Positive:   1 x 16424877 x 23464111 x 14931777 x 2133183 x 19789257 x 6391581 x 2827913 x 1799
Negative: -1 x -1642487-7 x -234641-11 x -149317-77 x -21331-83 x -19789-257 x -6391-581 x -2827-913 x -1799


How do I find the factor combinations of the number 1,642,487?

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 1,642,487, 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 1,642,487
-1 -1,642,487

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 1,642,487.

Example:
1 x 1,642,487 = 1,642,487
and
-1 x -1,642,487 = 1,642,487
Notice both answers equal 1,642,487

With that explanation out of the way, let's continue. Next, we take the number 1,642,487 and divide it by 2:

1,642,487 ÷ 2 = 821,243.5

If the quotient is a whole number, then 2 and 821,243.5 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 1,642,487
-1 -1,642,487

Now, we try dividing 1,642,487 by 3:

1,642,487 ÷ 3 = 547,495.6667

If the quotient is a whole number, then 3 and 547,495.6667 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 1,642,487
-1 -1,642,487

Let's try dividing by 4:

1,642,487 ÷ 4 = 410,621.75

If the quotient is a whole number, then 4 and 410,621.75 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 1,642,487
-1 1,642,487
Keep dividing by the next highest number until you cannot divide anymore.

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

171177832575819131,7992,8276,39119,78921,331149,317234,6411,642,487
-1-7-11-77-83-257-581-913-1,799-2,827-6,391-19,789-21,331-149,317-234,641-1,642,487

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,642,487:


Ask a Question