Q: What are the factor combinations of the number 1,560,013?

 A:
Positive:   1 x 15600137 x 22285913 x 12000131 x 5032349 x 3183779 x 1974791 x 17143217 x 7189403 x 3871553 x 2821637 x 24491027 x 1519
Negative: -1 x -1560013-7 x -222859-13 x -120001-31 x -50323-49 x -31837-79 x -19747-91 x -17143-217 x -7189-403 x -3871-553 x -2821-637 x -2449-1027 x -1519


How do I find the factor combinations of the number 1,560,013?

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 1,560,013, 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 1,560,013
-1 -1,560,013

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 1,560,013.

Example:
1 x 1,560,013 = 1,560,013
and
-1 x -1,560,013 = 1,560,013
Notice both answers equal 1,560,013

With that explanation out of the way, let's continue. Next, we take the number 1,560,013 and divide it by 2:

1,560,013 ÷ 2 = 780,006.5

If the quotient is a whole number, then 2 and 780,006.5 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 1,560,013
-1 -1,560,013

Now, we try dividing 1,560,013 by 3:

1,560,013 ÷ 3 = 520,004.3333

If the quotient is a whole number, then 3 and 520,004.3333 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 1,560,013
-1 -1,560,013

Let's try dividing by 4:

1,560,013 ÷ 4 = 390,003.25

If the quotient is a whole number, then 4 and 390,003.25 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 1,560,013
-1 1,560,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1713314979912174035536371,0271,5192,4492,8213,8717,18917,14319,74731,83750,323120,001222,8591,560,013
-1-7-13-31-49-79-91-217-403-553-637-1,027-1,519-2,449-2,821-3,871-7,189-17,143-19,747-31,837-50,323-120,001-222,859-1,560,013

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,560,013:


Ask a Question