Q: What are the factor combinations of the number 1,537,135?

 A:
Positive:   1 x 15371355 x 30742731 x 4958547 x 32705155 x 9917211 x 7285235 x 65411055 x 1457
Negative: -1 x -1537135-5 x -307427-31 x -49585-47 x -32705-155 x -9917-211 x -7285-235 x -6541-1055 x -1457


How do I find the factor combinations of the number 1,537,135?

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 1,537,135, 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 1,537,135
-1 -1,537,135

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 1,537,135.

Example:
1 x 1,537,135 = 1,537,135
and
-1 x -1,537,135 = 1,537,135
Notice both answers equal 1,537,135

With that explanation out of the way, let's continue. Next, we take the number 1,537,135 and divide it by 2:

1,537,135 ÷ 2 = 768,567.5

If the quotient is a whole number, then 2 and 768,567.5 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 1,537,135
-1 -1,537,135

Now, we try dividing 1,537,135 by 3:

1,537,135 ÷ 3 = 512,378.3333

If the quotient is a whole number, then 3 and 512,378.3333 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 1,537,135
-1 -1,537,135

Let's try dividing by 4:

1,537,135 ÷ 4 = 384,283.75

If the quotient is a whole number, then 4 and 384,283.75 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 1,537,135
-1 1,537,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1531471552112351,0551,4576,5417,2859,91732,70549,585307,4271,537,135
-1-5-31-47-155-211-235-1,055-1,457-6,541-7,285-9,917-32,705-49,585-307,427-1,537,135

More Examples

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