Q: What are the factor combinations of the number 45,530,131?

 A:
Positive:   1 x 4553013117 x 267824341 x 1110491697 x 65323
Negative: -1 x -45530131-17 x -2678243-41 x -1110491-697 x -65323


How do I find the factor combinations of the number 45,530,131?

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 45,530,131, 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 45,530,131
-1 -45,530,131

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 45,530,131.

Example:
1 x 45,530,131 = 45,530,131
and
-1 x -45,530,131 = 45,530,131
Notice both answers equal 45,530,131

With that explanation out of the way, let's continue. Next, we take the number 45,530,131 and divide it by 2:

45,530,131 ÷ 2 = 22,765,065.5

If the quotient is a whole number, then 2 and 22,765,065.5 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 45,530,131
-1 -45,530,131

Now, we try dividing 45,530,131 by 3:

45,530,131 ÷ 3 = 15,176,710.3333

If the quotient is a whole number, then 3 and 15,176,710.3333 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 45,530,131
-1 -45,530,131

Let's try dividing by 4:

45,530,131 ÷ 4 = 11,382,532.75

If the quotient is a whole number, then 4 and 11,382,532.75 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 45,530,131
-1 45,530,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1174169765,3231,110,4912,678,24345,530,131
-1-17-41-697-65,323-1,110,491-2,678,243-45,530,131

More Examples

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