Q: What are the factor combinations of the number 2,420,375?

 A:
Positive:   1 x 24203755 x 48407517 x 14237525 x 9681567 x 3612585 x 28475125 x 19363289 x 8375335 x 7225425 x 56951139 x 21251445 x 1675
Negative: -1 x -2420375-5 x -484075-17 x -142375-25 x -96815-67 x -36125-85 x -28475-125 x -19363-289 x -8375-335 x -7225-425 x -5695-1139 x -2125-1445 x -1675


How do I find the factor combinations of the number 2,420,375?

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 2,420,375, 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 2,420,375
-1 -2,420,375

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 2,420,375.

Example:
1 x 2,420,375 = 2,420,375
and
-1 x -2,420,375 = 2,420,375
Notice both answers equal 2,420,375

With that explanation out of the way, let's continue. Next, we take the number 2,420,375 and divide it by 2:

2,420,375 ÷ 2 = 1,210,187.5

If the quotient is a whole number, then 2 and 1,210,187.5 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 2,420,375
-1 -2,420,375

Now, we try dividing 2,420,375 by 3:

2,420,375 ÷ 3 = 806,791.6667

If the quotient is a whole number, then 3 and 806,791.6667 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 2,420,375
-1 -2,420,375

Let's try dividing by 4:

2,420,375 ÷ 4 = 605,093.75

If the quotient is a whole number, then 4 and 605,093.75 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 2,420,375
-1 2,420,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15172567851252893354251,1391,4451,6752,1255,6957,2258,37519,36328,47536,12596,815142,375484,0752,420,375
-1-5-17-25-67-85-125-289-335-425-1,139-1,445-1,675-2,125-5,695-7,225-8,375-19,363-28,475-36,125-96,815-142,375-484,075-2,420,375

More Examples

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