Q: What are the factor combinations of the number 1,364,375?

 A:
Positive:   1 x 13643755 x 27287525 x 5457537 x 3687559 x 23125125 x 10915185 x 7375295 x 4625625 x 2183925 x 1475
Negative: -1 x -1364375-5 x -272875-25 x -54575-37 x -36875-59 x -23125-125 x -10915-185 x -7375-295 x -4625-625 x -2183-925 x -1475


How do I find the factor combinations of the number 1,364,375?

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 1,364,375, 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 1,364,375
-1 -1,364,375

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 1,364,375.

Example:
1 x 1,364,375 = 1,364,375
and
-1 x -1,364,375 = 1,364,375
Notice both answers equal 1,364,375

With that explanation out of the way, let's continue. Next, we take the number 1,364,375 and divide it by 2:

1,364,375 ÷ 2 = 682,187.5

If the quotient is a whole number, then 2 and 682,187.5 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 1,364,375
-1 -1,364,375

Now, we try dividing 1,364,375 by 3:

1,364,375 ÷ 3 = 454,791.6667

If the quotient is a whole number, then 3 and 454,791.6667 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 1,364,375
-1 -1,364,375

Let's try dividing by 4:

1,364,375 ÷ 4 = 341,093.75

If the quotient is a whole number, then 4 and 341,093.75 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 1,364,375
-1 1,364,375
Keep dividing by the next highest number until you cannot divide anymore.

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

152537591251852956259251,4752,1834,6257,37510,91523,12536,87554,575272,8751,364,375
-1-5-25-37-59-125-185-295-625-925-1,475-2,183-4,625-7,375-10,915-23,125-36,875-54,575-272,875-1,364,375

More Examples

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