Q: What are the factor combinations of the number 2,502,445?

 A:
Positive:   1 x 25024455 x 50048911 x 22749555 x 45499173 x 14465263 x 9515865 x 28931315 x 1903
Negative: -1 x -2502445-5 x -500489-11 x -227495-55 x -45499-173 x -14465-263 x -9515-865 x -2893-1315 x -1903


How do I find the factor combinations of the number 2,502,445?

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 2,502,445, 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 2,502,445
-1 -2,502,445

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 2,502,445.

Example:
1 x 2,502,445 = 2,502,445
and
-1 x -2,502,445 = 2,502,445
Notice both answers equal 2,502,445

With that explanation out of the way, let's continue. Next, we take the number 2,502,445 and divide it by 2:

2,502,445 ÷ 2 = 1,251,222.5

If the quotient is a whole number, then 2 and 1,251,222.5 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 2,502,445
-1 -2,502,445

Now, we try dividing 2,502,445 by 3:

2,502,445 ÷ 3 = 834,148.3333

If the quotient is a whole number, then 3 and 834,148.3333 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 2,502,445
-1 -2,502,445

Let's try dividing by 4:

2,502,445 ÷ 4 = 625,611.25

If the quotient is a whole number, then 4 and 625,611.25 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 2,502,445
-1 2,502,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551732638651,3151,9032,8939,51514,46545,499227,495500,4892,502,445
-1-5-11-55-173-263-865-1,315-1,903-2,893-9,515-14,465-45,499-227,495-500,489-2,502,445

More Examples

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