Q: What are the factor combinations of the number 1,367,425?

 A:
Positive:   1 x 13674255 x 27348525 x 5469783 x 16475415 x 3295659 x 2075
Negative: -1 x -1367425-5 x -273485-25 x -54697-83 x -16475-415 x -3295-659 x -2075


How do I find the factor combinations of the number 1,367,425?

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 1,367,425, 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 1,367,425
-1 -1,367,425

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 1,367,425.

Example:
1 x 1,367,425 = 1,367,425
and
-1 x -1,367,425 = 1,367,425
Notice both answers equal 1,367,425

With that explanation out of the way, let's continue. Next, we take the number 1,367,425 and divide it by 2:

1,367,425 ÷ 2 = 683,712.5

If the quotient is a whole number, then 2 and 683,712.5 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 1,367,425
-1 -1,367,425

Now, we try dividing 1,367,425 by 3:

1,367,425 ÷ 3 = 455,808.3333

If the quotient is a whole number, then 3 and 455,808.3333 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 1,367,425
-1 -1,367,425

Let's try dividing by 4:

1,367,425 ÷ 4 = 341,856.25

If the quotient is a whole number, then 4 and 341,856.25 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 1,367,425
-1 1,367,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525834156592,0753,29516,47554,697273,4851,367,425
-1-5-25-83-415-659-2,075-3,295-16,475-54,697-273,485-1,367,425

More Examples

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