Q: What are the factor combinations of the number 45,015,655?

 A:
Positive:   1 x 450156555 x 900313119 x 236924595 x 473849613 x 73435773 x 582353065 x 146873865 x 11647
Negative: -1 x -45015655-5 x -9003131-19 x -2369245-95 x -473849-613 x -73435-773 x -58235-3065 x -14687-3865 x -11647


How do I find the factor combinations of the number 45,015,655?

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 45,015,655, 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 45,015,655
-1 -45,015,655

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 45,015,655.

Example:
1 x 45,015,655 = 45,015,655
and
-1 x -45,015,655 = 45,015,655
Notice both answers equal 45,015,655

With that explanation out of the way, let's continue. Next, we take the number 45,015,655 and divide it by 2:

45,015,655 ÷ 2 = 22,507,827.5

If the quotient is a whole number, then 2 and 22,507,827.5 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 45,015,655
-1 -45,015,655

Now, we try dividing 45,015,655 by 3:

45,015,655 ÷ 3 = 15,005,218.3333

If the quotient is a whole number, then 3 and 15,005,218.3333 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 45,015,655
-1 -45,015,655

Let's try dividing by 4:

45,015,655 ÷ 4 = 11,253,913.75

If the quotient is a whole number, then 4 and 11,253,913.75 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 45,015,655
-1 45,015,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1519956137733,0653,86511,64714,68758,23573,435473,8492,369,2459,003,13145,015,655
-1-5-19-95-613-773-3,065-3,865-11,647-14,687-58,235-73,435-473,849-2,369,245-9,003,131-45,015,655

More Examples

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