Q: What are the factor combinations of the number 101,004,443?

 A:
Positive:   1 x 10100444341 x 246352367 x 150752983 x 1216921443 x 2280012747 x 367693403 x 296815561 x 18163
Negative: -1 x -101004443-41 x -2463523-67 x -1507529-83 x -1216921-443 x -228001-2747 x -36769-3403 x -29681-5561 x -18163


How do I find the factor combinations of the number 101,004,443?

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 101,004,443, 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.

1 101,004,443
-1 -101,004,443

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 101,004,443.

Example:
1 x 101,004,443 = 101,004,443
and
-1 x -101,004,443 = 101,004,443
Notice both answers equal 101,004,443

With that explanation out of the way, let's continue. Next, we take the number 101,004,443 and divide it by 2:

101,004,443 ÷ 2 = 50,502,221.5

If the quotient is a whole number, then 2 and 50,502,221.5 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:

1 101,004,443
-1 -101,004,443

Now, we try dividing 101,004,443 by 3:

101,004,443 ÷ 3 = 33,668,147.6667

If the quotient is a whole number, then 3 and 33,668,147.6667 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:

1 101,004,443
-1 -101,004,443

Let's try dividing by 4:

101,004,443 ÷ 4 = 25,251,110.75

If the quotient is a whole number, then 4 and 25,251,110.75 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:

1 101,004,443
-1 101,004,443
Keep dividing by the next highest number until you cannot divide anymore.

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

14167834432,7473,4035,56118,16329,68136,769228,0011,216,9211,507,5292,463,523101,004,443
-1-41-67-83-443-2,747-3,403-5,561-18,163-29,681-36,769-228,001-1,216,921-1,507,529-2,463,523-101,004,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 101,004,443:


Ask a Question