Q: What are the factor combinations of the number 7,348,145?

 A:
Positive:   1 x 73481455 x 14696297 x 104973535 x 20994771 x 103495355 x 20699497 x 147852485 x 2957
Negative: -1 x -7348145-5 x -1469629-7 x -1049735-35 x -209947-71 x -103495-355 x -20699-497 x -14785-2485 x -2957


How do I find the factor combinations of the number 7,348,145?

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 7,348,145, 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 7,348,145
-1 -7,348,145

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 7,348,145.

Example:
1 x 7,348,145 = 7,348,145
and
-1 x -7,348,145 = 7,348,145
Notice both answers equal 7,348,145

With that explanation out of the way, let's continue. Next, we take the number 7,348,145 and divide it by 2:

7,348,145 ÷ 2 = 3,674,072.5

If the quotient is a whole number, then 2 and 3,674,072.5 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 7,348,145
-1 -7,348,145

Now, we try dividing 7,348,145 by 3:

7,348,145 ÷ 3 = 2,449,381.6667

If the quotient is a whole number, then 3 and 2,449,381.6667 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 7,348,145
-1 -7,348,145

Let's try dividing by 4:

7,348,145 ÷ 4 = 1,837,036.25

If the quotient is a whole number, then 4 and 1,837,036.25 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 7,348,145
-1 7,348,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15735713554972,4852,95714,78520,699103,495209,9471,049,7351,469,6297,348,145
-1-5-7-35-71-355-497-2,485-2,957-14,785-20,699-103,495-209,947-1,049,735-1,469,629-7,348,145

More Examples

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