Q: What are the factor combinations of the number 1,720,019?

 A:
Positive:   1 x 17200197 x 24571729 x 5931137 x 46487203 x 8473229 x 7511259 x 66411073 x 1603
Negative: -1 x -1720019-7 x -245717-29 x -59311-37 x -46487-203 x -8473-229 x -7511-259 x -6641-1073 x -1603


How do I find the factor combinations of the number 1,720,019?

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 1,720,019, 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 1,720,019
-1 -1,720,019

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 1,720,019.

Example:
1 x 1,720,019 = 1,720,019
and
-1 x -1,720,019 = 1,720,019
Notice both answers equal 1,720,019

With that explanation out of the way, let's continue. Next, we take the number 1,720,019 and divide it by 2:

1,720,019 ÷ 2 = 860,009.5

If the quotient is a whole number, then 2 and 860,009.5 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 1,720,019
-1 -1,720,019

Now, we try dividing 1,720,019 by 3:

1,720,019 ÷ 3 = 573,339.6667

If the quotient is a whole number, then 3 and 573,339.6667 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 1,720,019
-1 -1,720,019

Let's try dividing by 4:

1,720,019 ÷ 4 = 430,004.75

If the quotient is a whole number, then 4 and 430,004.75 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 1,720,019
-1 1,720,019
Keep dividing by the next highest number until you cannot divide anymore.

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

1729372032292591,0731,6036,6417,5118,47346,48759,311245,7171,720,019
-1-7-29-37-203-229-259-1,073-1,603-6,641-7,511-8,473-46,487-59,311-245,717-1,720,019

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,720,019:


Ask a Question