Q: What are the factor combinations of the number 100,244,045?

 A:
Positive:   1 x 1002440455 x 2004880911 x 911309555 x 182261961 x 1643345305 x 328669671 x 1493953355 x 29879
Negative: -1 x -100244045-5 x -20048809-11 x -9113095-55 x -1822619-61 x -1643345-305 x -328669-671 x -149395-3355 x -29879


How do I find the factor combinations of the number 100,244,045?

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 100,244,045, 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.

1 100,244,045
-1 -100,244,045

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 100,244,045.

Example:
1 x 100,244,045 = 100,244,045
and
-1 x -100,244,045 = 100,244,045
Notice both answers equal 100,244,045

With that explanation out of the way, let's continue. Next, we take the number 100,244,045 and divide it by 2:

100,244,045 ÷ 2 = 50,122,022.5

If the quotient is a whole number, then 2 and 50,122,022.5 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:

1 100,244,045
-1 -100,244,045

Now, we try dividing 100,244,045 by 3:

100,244,045 ÷ 3 = 33,414,681.6667

If the quotient is a whole number, then 3 and 33,414,681.6667 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:

1 100,244,045
-1 -100,244,045

Let's try dividing by 4:

100,244,045 ÷ 4 = 25,061,011.25

If the quotient is a whole number, then 4 and 25,061,011.25 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:

1 100,244,045
-1 100,244,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,35529,879149,395328,6691,643,3451,822,6199,113,09520,048,809100,244,045
-1-5-11-55-61-305-671-3,355-29,879-149,395-328,669-1,643,345-1,822,619-9,113,095-20,048,809-100,244,045

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