Q: What are the factor combinations of the number 2,490,475?

 A:
Positive:   1 x 24904755 x 49809513 x 19157525 x 9961965 x 3831579 x 3152597 x 25675325 x 7663395 x 6305485 x 51351027 x 24251261 x 1975
Negative: -1 x -2490475-5 x -498095-13 x -191575-25 x -99619-65 x -38315-79 x -31525-97 x -25675-325 x -7663-395 x -6305-485 x -5135-1027 x -2425-1261 x -1975


How do I find the factor combinations of the number 2,490,475?

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 2,490,475, 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 2,490,475
-1 -2,490,475

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 2,490,475.

Example:
1 x 2,490,475 = 2,490,475
and
-1 x -2,490,475 = 2,490,475
Notice both answers equal 2,490,475

With that explanation out of the way, let's continue. Next, we take the number 2,490,475 and divide it by 2:

2,490,475 ÷ 2 = 1,245,237.5

If the quotient is a whole number, then 2 and 1,245,237.5 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 2,490,475
-1 -2,490,475

Now, we try dividing 2,490,475 by 3:

2,490,475 ÷ 3 = 830,158.3333

If the quotient is a whole number, then 3 and 830,158.3333 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 2,490,475
-1 -2,490,475

Let's try dividing by 4:

2,490,475 ÷ 4 = 622,618.75

If the quotient is a whole number, then 4 and 622,618.75 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 2,490,475
-1 2,490,475
Keep dividing by the next highest number until you cannot divide anymore.

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

1513256579973253954851,0271,2611,9752,4255,1356,3057,66325,67531,52538,31599,619191,575498,0952,490,475
-1-5-13-25-65-79-97-325-395-485-1,027-1,261-1,975-2,425-5,135-6,305-7,663-25,675-31,525-38,315-99,619-191,575-498,095-2,490,475

More Examples

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