Q: What are the factor combinations of the number 2,442,925?

 A:
Positive:   1 x 24429255 x 48858519 x 12857525 x 9771737 x 6602595 x 25715139 x 17575185 x 13205475 x 5143695 x 3515703 x 3475925 x 2641
Negative: -1 x -2442925-5 x -488585-19 x -128575-25 x -97717-37 x -66025-95 x -25715-139 x -17575-185 x -13205-475 x -5143-695 x -3515-703 x -3475-925 x -2641


How do I find the factor combinations of the number 2,442,925?

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 2,442,925, 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 2,442,925
-1 -2,442,925

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 2,442,925.

Example:
1 x 2,442,925 = 2,442,925
and
-1 x -2,442,925 = 2,442,925
Notice both answers equal 2,442,925

With that explanation out of the way, let's continue. Next, we take the number 2,442,925 and divide it by 2:

2,442,925 ÷ 2 = 1,221,462.5

If the quotient is a whole number, then 2 and 1,221,462.5 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 2,442,925
-1 -2,442,925

Now, we try dividing 2,442,925 by 3:

2,442,925 ÷ 3 = 814,308.3333

If the quotient is a whole number, then 3 and 814,308.3333 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 2,442,925
-1 -2,442,925

Let's try dividing by 4:

2,442,925 ÷ 4 = 610,731.25

If the quotient is a whole number, then 4 and 610,731.25 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 2,442,925
-1 2,442,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15192537951391854756957039252,6413,4753,5155,14313,20517,57525,71566,02597,717128,575488,5852,442,925
-1-5-19-25-37-95-139-185-475-695-703-925-2,641-3,475-3,515-5,143-13,205-17,575-25,715-66,025-97,717-128,575-488,585-2,442,925

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