Q: What are the factor combinations of the number 1,421,735?

 A:
Positive:   1 x 14217355 x 2843477 x 20310535 x 4062149 x 29015245 x 5803343 x 4145829 x 1715
Negative: -1 x -1421735-5 x -284347-7 x -203105-35 x -40621-49 x -29015-245 x -5803-343 x -4145-829 x -1715


How do I find the factor combinations of the number 1,421,735?

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 1,421,735, 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 1,421,735
-1 -1,421,735

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 1,421,735.

Example:
1 x 1,421,735 = 1,421,735
and
-1 x -1,421,735 = 1,421,735
Notice both answers equal 1,421,735

With that explanation out of the way, let's continue. Next, we take the number 1,421,735 and divide it by 2:

1,421,735 ÷ 2 = 710,867.5

If the quotient is a whole number, then 2 and 710,867.5 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 1,421,735
-1 -1,421,735

Now, we try dividing 1,421,735 by 3:

1,421,735 ÷ 3 = 473,911.6667

If the quotient is a whole number, then 3 and 473,911.6667 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 1,421,735
-1 -1,421,735

Let's try dividing by 4:

1,421,735 ÷ 4 = 355,433.75

If the quotient is a whole number, then 4 and 355,433.75 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 1,421,735
-1 1,421,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453438291,7154,1455,80329,01540,621203,105284,3471,421,735
-1-5-7-35-49-245-343-829-1,715-4,145-5,803-29,015-40,621-203,105-284,347-1,421,735

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,421,735:


Ask a Question