Q: What are the factor combinations of the number 45,422,185?

 A:
Positive:   1 x 454221855 x 9084437127 x 357655233 x 194945307 x 147955635 x 715311165 x 389891535 x 29591
Negative: -1 x -45422185-5 x -9084437-127 x -357655-233 x -194945-307 x -147955-635 x -71531-1165 x -38989-1535 x -29591


How do I find the factor combinations of the number 45,422,185?

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 45,422,185, 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 45,422,185
-1 -45,422,185

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 45,422,185.

Example:
1 x 45,422,185 = 45,422,185
and
-1 x -45,422,185 = 45,422,185
Notice both answers equal 45,422,185

With that explanation out of the way, let's continue. Next, we take the number 45,422,185 and divide it by 2:

45,422,185 ÷ 2 = 22,711,092.5

If the quotient is a whole number, then 2 and 22,711,092.5 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 45,422,185
-1 -45,422,185

Now, we try dividing 45,422,185 by 3:

45,422,185 ÷ 3 = 15,140,728.3333

If the quotient is a whole number, then 3 and 15,140,728.3333 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 45,422,185
-1 -45,422,185

Let's try dividing by 4:

45,422,185 ÷ 4 = 11,355,546.25

If the quotient is a whole number, then 4 and 11,355,546.25 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 45,422,185
-1 45,422,185
Keep dividing by the next highest number until you cannot divide anymore.

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

151272333076351,1651,53529,59138,98971,531147,955194,945357,6559,084,43745,422,185
-1-5-127-233-307-635-1,165-1,535-29,591-38,989-71,531-147,955-194,945-357,655-9,084,437-45,422,185

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