Q: What are the factor combinations of the number 7,444,385?

 A:
Positive:   1 x 74443855 x 148887713 x 57264517 x 43790565 x 11452985 x 87581221 x 336851105 x 6737
Negative: -1 x -7444385-5 x -1488877-13 x -572645-17 x -437905-65 x -114529-85 x -87581-221 x -33685-1105 x -6737


How do I find the factor combinations of the number 7,444,385?

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 7,444,385, 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 7,444,385
-1 -7,444,385

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 7,444,385.

Example:
1 x 7,444,385 = 7,444,385
and
-1 x -7,444,385 = 7,444,385
Notice both answers equal 7,444,385

With that explanation out of the way, let's continue. Next, we take the number 7,444,385 and divide it by 2:

7,444,385 ÷ 2 = 3,722,192.5

If the quotient is a whole number, then 2 and 3,722,192.5 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 7,444,385
-1 -7,444,385

Now, we try dividing 7,444,385 by 3:

7,444,385 ÷ 3 = 2,481,461.6667

If the quotient is a whole number, then 3 and 2,481,461.6667 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 7,444,385
-1 -7,444,385

Let's try dividing by 4:

7,444,385 ÷ 4 = 1,861,096.25

If the quotient is a whole number, then 4 and 1,861,096.25 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 7,444,385
-1 7,444,385
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,1056,73733,68587,581114,529437,905572,6451,488,8777,444,385
-1-5-13-17-65-85-221-1,105-6,737-33,685-87,581-114,529-437,905-572,645-1,488,877-7,444,385

More Examples

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