Q: What are the factor combinations of the number 1,357,715?

 A:
Positive:   1 x 13577155 x 27154337 x 3669541 x 33115179 x 7585185 x 7339205 x 6623895 x 1517
Negative: -1 x -1357715-5 x -271543-37 x -36695-41 x -33115-179 x -7585-185 x -7339-205 x -6623-895 x -1517


How do I find the factor combinations of the number 1,357,715?

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 1,357,715, 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 1,357,715
-1 -1,357,715

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 1,357,715.

Example:
1 x 1,357,715 = 1,357,715
and
-1 x -1,357,715 = 1,357,715
Notice both answers equal 1,357,715

With that explanation out of the way, let's continue. Next, we take the number 1,357,715 and divide it by 2:

1,357,715 ÷ 2 = 678,857.5

If the quotient is a whole number, then 2 and 678,857.5 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 1,357,715
-1 -1,357,715

Now, we try dividing 1,357,715 by 3:

1,357,715 ÷ 3 = 452,571.6667

If the quotient is a whole number, then 3 and 452,571.6667 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 1,357,715
-1 -1,357,715

Let's try dividing by 4:

1,357,715 ÷ 4 = 339,428.75

If the quotient is a whole number, then 4 and 339,428.75 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 1,357,715
-1 1,357,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1537411791852058951,5176,6237,3397,58533,11536,695271,5431,357,715
-1-5-37-41-179-185-205-895-1,517-6,623-7,339-7,585-33,115-36,695-271,543-1,357,715

More Examples

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