Q: What are the factor combinations of the number 2,496,725?

 A:
Positive:   1 x 24967255 x 4993457 x 35667511 x 22697525 x 9986935 x 7133555 x 4539577 x 32425175 x 14267275 x 9079385 x 64851297 x 1925
Negative: -1 x -2496725-5 x -499345-7 x -356675-11 x -226975-25 x -99869-35 x -71335-55 x -45395-77 x -32425-175 x -14267-275 x -9079-385 x -6485-1297 x -1925


How do I find the factor combinations of the number 2,496,725?

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 2,496,725, 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 2,496,725
-1 -2,496,725

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 2,496,725.

Example:
1 x 2,496,725 = 2,496,725
and
-1 x -2,496,725 = 2,496,725
Notice both answers equal 2,496,725

With that explanation out of the way, let's continue. Next, we take the number 2,496,725 and divide it by 2:

2,496,725 ÷ 2 = 1,248,362.5

If the quotient is a whole number, then 2 and 1,248,362.5 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 2,496,725
-1 -2,496,725

Now, we try dividing 2,496,725 by 3:

2,496,725 ÷ 3 = 832,241.6667

If the quotient is a whole number, then 3 and 832,241.6667 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 2,496,725
-1 -2,496,725

Let's try dividing by 4:

2,496,725 ÷ 4 = 624,181.25

If the quotient is a whole number, then 4 and 624,181.25 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 2,496,725
-1 2,496,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,2971,9256,4859,07914,26732,42545,39571,33599,869226,975356,675499,3452,496,725
-1-5-7-11-25-35-55-77-175-275-385-1,297-1,925-6,485-9,079-14,267-32,425-45,395-71,335-99,869-226,975-356,675-499,345-2,496,725

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