Q: What are the factor combinations of the number 7,420,385?

 A:
Positive:   1 x 74203855 x 14840777 x 106005535 x 21201141 x 180985205 x 36197287 x 258551435 x 5171
Negative: -1 x -7420385-5 x -1484077-7 x -1060055-35 x -212011-41 x -180985-205 x -36197-287 x -25855-1435 x -5171


How do I find the factor combinations of the number 7,420,385?

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 7,420,385, 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 7,420,385
-1 -7,420,385

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 7,420,385.

Example:
1 x 7,420,385 = 7,420,385
and
-1 x -7,420,385 = 7,420,385
Notice both answers equal 7,420,385

With that explanation out of the way, let's continue. Next, we take the number 7,420,385 and divide it by 2:

7,420,385 ÷ 2 = 3,710,192.5

If the quotient is a whole number, then 2 and 3,710,192.5 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 7,420,385
-1 -7,420,385

Now, we try dividing 7,420,385 by 3:

7,420,385 ÷ 3 = 2,473,461.6667

If the quotient is a whole number, then 3 and 2,473,461.6667 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 7,420,385
-1 -7,420,385

Let's try dividing by 4:

7,420,385 ÷ 4 = 1,855,096.25

If the quotient is a whole number, then 4 and 1,855,096.25 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 7,420,385
-1 7,420,385
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,4355,17125,85536,197180,985212,0111,060,0551,484,0777,420,385
-1-5-7-35-41-205-287-1,435-5,171-25,855-36,197-180,985-212,011-1,060,055-1,484,077-7,420,385

More Examples

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