Q: What are the factor combinations of the number 7,842,145?

 A:
Positive:   1 x 78421455 x 156842953 x 147965101 x 77645265 x 29593293 x 26765505 x 155291465 x 5353
Negative: -1 x -7842145-5 x -1568429-53 x -147965-101 x -77645-265 x -29593-293 x -26765-505 x -15529-1465 x -5353


How do I find the factor combinations of the number 7,842,145?

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 7,842,145, 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 7,842,145
-1 -7,842,145

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 7,842,145.

Example:
1 x 7,842,145 = 7,842,145
and
-1 x -7,842,145 = 7,842,145
Notice both answers equal 7,842,145

With that explanation out of the way, let's continue. Next, we take the number 7,842,145 and divide it by 2:

7,842,145 ÷ 2 = 3,921,072.5

If the quotient is a whole number, then 2 and 3,921,072.5 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 7,842,145
-1 -7,842,145

Now, we try dividing 7,842,145 by 3:

7,842,145 ÷ 3 = 2,614,048.3333

If the quotient is a whole number, then 3 and 2,614,048.3333 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 7,842,145
-1 -7,842,145

Let's try dividing by 4:

7,842,145 ÷ 4 = 1,960,536.25

If the quotient is a whole number, then 4 and 1,960,536.25 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 7,842,145
-1 7,842,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15531012652935051,4655,35315,52926,76529,59377,645147,9651,568,4297,842,145
-1-5-53-101-265-293-505-1,465-5,353-15,529-26,765-29,593-77,645-147,965-1,568,429-7,842,145

More Examples

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