Q: What are the factor combinations of the number 2,440,475?

 A:
Positive:   1 x 24404755 x 48809525 x 9761931 x 7872547 x 5192567 x 36425155 x 15745235 x 10385335 x 7285775 x 31491175 x 20771457 x 1675
Negative: -1 x -2440475-5 x -488095-25 x -97619-31 x -78725-47 x -51925-67 x -36425-155 x -15745-235 x -10385-335 x -7285-775 x -3149-1175 x -2077-1457 x -1675


How do I find the factor combinations of the number 2,440,475?

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 2,440,475, 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 2,440,475
-1 -2,440,475

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 2,440,475.

Example:
1 x 2,440,475 = 2,440,475
and
-1 x -2,440,475 = 2,440,475
Notice both answers equal 2,440,475

With that explanation out of the way, let's continue. Next, we take the number 2,440,475 and divide it by 2:

2,440,475 ÷ 2 = 1,220,237.5

If the quotient is a whole number, then 2 and 1,220,237.5 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 2,440,475
-1 -2,440,475

Now, we try dividing 2,440,475 by 3:

2,440,475 ÷ 3 = 813,491.6667

If the quotient is a whole number, then 3 and 813,491.6667 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 2,440,475
-1 -2,440,475

Let's try dividing by 4:

2,440,475 ÷ 4 = 610,118.75

If the quotient is a whole number, then 4 and 610,118.75 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 2,440,475
-1 2,440,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15253147671552353357751,1751,4571,6752,0773,1497,28510,38515,74536,42551,92578,72597,619488,0952,440,475
-1-5-25-31-47-67-155-235-335-775-1,175-1,457-1,675-2,077-3,149-7,285-10,385-15,745-36,425-51,925-78,725-97,619-488,095-2,440,475

More Examples

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