Q: What are the factor combinations of the number 2,367,425?

 A:
Positive:   1 x 23674255 x 47348525 x 94697281 x 8425337 x 70251405 x 1685
Negative: -1 x -2367425-5 x -473485-25 x -94697-281 x -8425-337 x -7025-1405 x -1685


How do I find the factor combinations of the number 2,367,425?

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 2,367,425, 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 2,367,425
-1 -2,367,425

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 2,367,425.

Example:
1 x 2,367,425 = 2,367,425
and
-1 x -2,367,425 = 2,367,425
Notice both answers equal 2,367,425

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

2,367,425 ÷ 2 = 1,183,712.5

If the quotient is a whole number, then 2 and 1,183,712.5 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 2,367,425
-1 -2,367,425

Now, we try dividing 2,367,425 by 3:

2,367,425 ÷ 3 = 789,141.6667

If the quotient is a whole number, then 3 and 789,141.6667 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 2,367,425
-1 -2,367,425

Let's try dividing by 4:

2,367,425 ÷ 4 = 591,856.25

If the quotient is a whole number, then 4 and 591,856.25 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 2,367,425
-1 2,367,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15252813371,4051,6857,0258,42594,697473,4852,367,425
-1-5-25-281-337-1,405-1,685-7,025-8,425-94,697-473,485-2,367,425

More Examples

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