Q: What are the factor combinations of the number 1,537,745?

 A:
Positive:   1 x 15377455 x 30754911 x 13979555 x 2795973 x 21065365 x 4213383 x 4015803 x 1915
Negative: -1 x -1537745-5 x -307549-11 x -139795-55 x -27959-73 x -21065-365 x -4213-383 x -4015-803 x -1915


How do I find the factor combinations of the number 1,537,745?

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 1,537,745, 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 1,537,745
-1 -1,537,745

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 1,537,745.

Example:
1 x 1,537,745 = 1,537,745
and
-1 x -1,537,745 = 1,537,745
Notice both answers equal 1,537,745

With that explanation out of the way, let's continue. Next, we take the number 1,537,745 and divide it by 2:

1,537,745 ÷ 2 = 768,872.5

If the quotient is a whole number, then 2 and 768,872.5 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 1,537,745
-1 -1,537,745

Now, we try dividing 1,537,745 by 3:

1,537,745 ÷ 3 = 512,581.6667

If the quotient is a whole number, then 3 and 512,581.6667 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 1,537,745
-1 -1,537,745

Let's try dividing by 4:

1,537,745 ÷ 4 = 384,436.25

If the quotient is a whole number, then 4 and 384,436.25 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 1,537,745
-1 1,537,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151155733653838031,9154,0154,21321,06527,959139,795307,5491,537,745
-1-5-11-55-73-365-383-803-1,915-4,015-4,213-21,065-27,959-139,795-307,549-1,537,745

More Examples

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