Q: What are the factor combinations of the number 145,543,145?

 A:
Positive:   1 x 1455431455 x 2910862911 x 1323119555 x 2646239809 x 1799053271 x 444954045 x 359818899 x 16355
Negative: -1 x -145543145-5 x -29108629-11 x -13231195-55 x -2646239-809 x -179905-3271 x -44495-4045 x -35981-8899 x -16355


How do I find the factor combinations of the number 145,543,145?

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 145,543,145, 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.

1 145,543,145
-1 -145,543,145

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 145,543,145.

Example:
1 x 145,543,145 = 145,543,145
and
-1 x -145,543,145 = 145,543,145
Notice both answers equal 145,543,145

With that explanation out of the way, let's continue. Next, we take the number 145,543,145 and divide it by 2:

145,543,145 ÷ 2 = 72,771,572.5

If the quotient is a whole number, then 2 and 72,771,572.5 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:

1 145,543,145
-1 -145,543,145

Now, we try dividing 145,543,145 by 3:

145,543,145 ÷ 3 = 48,514,381.6667

If the quotient is a whole number, then 3 and 48,514,381.6667 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:

1 145,543,145
-1 -145,543,145

Let's try dividing by 4:

145,543,145 ÷ 4 = 36,385,786.25

If the quotient is a whole number, then 4 and 36,385,786.25 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:

1 145,543,145
-1 145,543,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511558093,2714,0458,89916,35535,98144,495179,9052,646,23913,231,19529,108,629145,543,145
-1-5-11-55-809-3,271-4,045-8,899-16,355-35,981-44,495-179,905-2,646,239-13,231,195-29,108,629-145,543,145

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