Q: What are the factor combinations of the number 1,385,765?

 A:
Positive:   1 x 13857655 x 27715319 x 7293529 x 4778595 x 14587145 x 9557503 x 2755551 x 2515
Negative: -1 x -1385765-5 x -277153-19 x -72935-29 x -47785-95 x -14587-145 x -9557-503 x -2755-551 x -2515


How do I find the factor combinations of the number 1,385,765?

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 1,385,765, 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 1,385,765
-1 -1,385,765

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 1,385,765.

Example:
1 x 1,385,765 = 1,385,765
and
-1 x -1,385,765 = 1,385,765
Notice both answers equal 1,385,765

With that explanation out of the way, let's continue. Next, we take the number 1,385,765 and divide it by 2:

1,385,765 ÷ 2 = 692,882.5

If the quotient is a whole number, then 2 and 692,882.5 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 1,385,765
-1 -1,385,765

Now, we try dividing 1,385,765 by 3:

1,385,765 ÷ 3 = 461,921.6667

If the quotient is a whole number, then 3 and 461,921.6667 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 1,385,765
-1 -1,385,765

Let's try dividing by 4:

1,385,765 ÷ 4 = 346,441.25

If the quotient is a whole number, then 4 and 346,441.25 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 1,385,765
-1 1,385,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151929951455035512,5152,7559,55714,58747,78572,935277,1531,385,765
-1-5-19-29-95-145-503-551-2,515-2,755-9,557-14,587-47,785-72,935-277,153-1,385,765

More Examples

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