Q: What are the factor combinations of the number 110,401,145?

 A:
Positive:   1 x 1104011455 x 2208022917 x 649418585 x 1298837877 x 1258851481 x 745454385 x 251777405 x 14909
Negative: -1 x -110401145-5 x -22080229-17 x -6494185-85 x -1298837-877 x -125885-1481 x -74545-4385 x -25177-7405 x -14909


How do I find the factor combinations of the number 110,401,145?

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 110,401,145, 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.

1 110,401,145
-1 -110,401,145

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 110,401,145.

Example:
1 x 110,401,145 = 110,401,145
and
-1 x -110,401,145 = 110,401,145
Notice both answers equal 110,401,145

With that explanation out of the way, let's continue. Next, we take the number 110,401,145 and divide it by 2:

110,401,145 ÷ 2 = 55,200,572.5

If the quotient is a whole number, then 2 and 55,200,572.5 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:

1 110,401,145
-1 -110,401,145

Now, we try dividing 110,401,145 by 3:

110,401,145 ÷ 3 = 36,800,381.6667

If the quotient is a whole number, then 3 and 36,800,381.6667 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:

1 110,401,145
-1 -110,401,145

Let's try dividing by 4:

110,401,145 ÷ 4 = 27,600,286.25

If the quotient is a whole number, then 4 and 27,600,286.25 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:

1 110,401,145
-1 110,401,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1517858771,4814,3857,40514,90925,17774,545125,8851,298,8376,494,18522,080,229110,401,145
-1-5-17-85-877-1,481-4,385-7,405-14,909-25,177-74,545-125,885-1,298,837-6,494,185-22,080,229-110,401,145

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