Q: What are the factor combinations of the number 110,501,425?

 A:
Positive:   1 x 1105014255 x 2210028525 x 442005737 x 298652567 x 1649275185 x 597305335 x 329855925 x 1194611675 x 659711783 x 619752479 x 445758915 x 12395
Negative: -1 x -110501425-5 x -22100285-25 x -4420057-37 x -2986525-67 x -1649275-185 x -597305-335 x -329855-925 x -119461-1675 x -65971-1783 x -61975-2479 x -44575-8915 x -12395


How do I find the factor combinations of the number 110,501,425?

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 110,501,425, 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.

1 110,501,425
-1 -110,501,425

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 110,501,425.

Example:
1 x 110,501,425 = 110,501,425
and
-1 x -110,501,425 = 110,501,425
Notice both answers equal 110,501,425

With that explanation out of the way, let's continue. Next, we take the number 110,501,425 and divide it by 2:

110,501,425 ÷ 2 = 55,250,712.5

If the quotient is a whole number, then 2 and 55,250,712.5 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:

1 110,501,425
-1 -110,501,425

Now, we try dividing 110,501,425 by 3:

110,501,425 ÷ 3 = 36,833,808.3333

If the quotient is a whole number, then 3 and 36,833,808.3333 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:

1 110,501,425
-1 -110,501,425

Let's try dividing by 4:

110,501,425 ÷ 4 = 27,625,356.25

If the quotient is a whole number, then 4 and 27,625,356.25 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:

1 110,501,425
-1 110,501,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152537671853359251,6751,7832,4798,91512,39544,57561,97565,971119,461329,855597,3051,649,2752,986,5254,420,05722,100,285110,501,425
-1-5-25-37-67-185-335-925-1,675-1,783-2,479-8,915-12,395-44,575-61,975-65,971-119,461-329,855-597,305-1,649,275-2,986,525-4,420,057-22,100,285-110,501,425

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