Q: What are the factor combinations of the number 1,377,425?

 A:
Positive:   1 x 13774255 x 2754857 x 19677517 x 8102525 x 5509735 x 3935585 x 16205119 x 11575175 x 7871425 x 3241463 x 2975595 x 2315
Negative: -1 x -1377425-5 x -275485-7 x -196775-17 x -81025-25 x -55097-35 x -39355-85 x -16205-119 x -11575-175 x -7871-425 x -3241-463 x -2975-595 x -2315


How do I find the factor combinations of the number 1,377,425?

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 1,377,425, 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 1,377,425
-1 -1,377,425

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 1,377,425.

Example:
1 x 1,377,425 = 1,377,425
and
-1 x -1,377,425 = 1,377,425
Notice both answers equal 1,377,425

With that explanation out of the way, let's continue. Next, we take the number 1,377,425 and divide it by 2:

1,377,425 ÷ 2 = 688,712.5

If the quotient is a whole number, then 2 and 688,712.5 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 1,377,425
-1 -1,377,425

Now, we try dividing 1,377,425 by 3:

1,377,425 ÷ 3 = 459,141.6667

If the quotient is a whole number, then 3 and 459,141.6667 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 1,377,425
-1 -1,377,425

Let's try dividing by 4:

1,377,425 ÷ 4 = 344,356.25

If the quotient is a whole number, then 4 and 344,356.25 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 1,377,425
-1 1,377,425
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754254635952,3152,9753,2417,87111,57516,20539,35555,09781,025196,775275,4851,377,425
-1-5-7-17-25-35-85-119-175-425-463-595-2,315-2,975-3,241-7,871-11,575-16,205-39,355-55,097-81,025-196,775-275,485-1,377,425

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