Q: What are the factor combinations of the number 145,404,545?

 A:
Positive:   1 x 1454045455 x 2908090911 x 1321859513 x 1118496555 x 264371965 x 2236993143 x 1016815715 x 203363
Negative: -1 x -145404545-5 x -29080909-11 x -13218595-13 x -11184965-55 x -2643719-65 x -2236993-143 x -1016815-715 x -203363


How do I find the factor combinations of the number 145,404,545?

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 145,404,545, 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.

1 145,404,545
-1 -145,404,545

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 145,404,545.

Example:
1 x 145,404,545 = 145,404,545
and
-1 x -145,404,545 = 145,404,545
Notice both answers equal 145,404,545

With that explanation out of the way, let's continue. Next, we take the number 145,404,545 and divide it by 2:

145,404,545 ÷ 2 = 72,702,272.5

If the quotient is a whole number, then 2 and 72,702,272.5 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:

1 145,404,545
-1 -145,404,545

Now, we try dividing 145,404,545 by 3:

145,404,545 ÷ 3 = 48,468,181.6667

If the quotient is a whole number, then 3 and 48,468,181.6667 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:

1 145,404,545
-1 -145,404,545

Let's try dividing by 4:

145,404,545 ÷ 4 = 36,351,136.25

If the quotient is a whole number, then 4 and 36,351,136.25 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:

1 145,404,545
-1 145,404,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565143715203,3631,016,8152,236,9932,643,71911,184,96513,218,59529,080,909145,404,545
-1-5-11-13-55-65-143-715-203,363-1,016,815-2,236,993-2,643,719-11,184,965-13,218,595-29,080,909-145,404,545

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