Q: What are the factor combinations of the number 100,401,035?

 A:
Positive:   1 x 1004010355 x 200802077 x 1434300519 x 528426535 x 286860195 x 1056853133 x 754895665 x 150979
Negative: -1 x -100401035-5 x -20080207-7 x -14343005-19 x -5284265-35 x -2868601-95 x -1056853-133 x -754895-665 x -150979


How do I find the factor combinations of the number 100,401,035?

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 100,401,035, 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.

1 100,401,035
-1 -100,401,035

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 100,401,035.

Example:
1 x 100,401,035 = 100,401,035
and
-1 x -100,401,035 = 100,401,035
Notice both answers equal 100,401,035

With that explanation out of the way, let's continue. Next, we take the number 100,401,035 and divide it by 2:

100,401,035 ÷ 2 = 50,200,517.5

If the quotient is a whole number, then 2 and 50,200,517.5 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:

1 100,401,035
-1 -100,401,035

Now, we try dividing 100,401,035 by 3:

100,401,035 ÷ 3 = 33,467,011.6667

If the quotient is a whole number, then 3 and 33,467,011.6667 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:

1 100,401,035
-1 -100,401,035

Let's try dividing by 4:

100,401,035 ÷ 4 = 25,100,258.75

If the quotient is a whole number, then 4 and 25,100,258.75 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:

1 100,401,035
-1 100,401,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157193595133665150,979754,8951,056,8532,868,6015,284,26514,343,00520,080,207100,401,035
-1-5-7-19-35-95-133-665-150,979-754,895-1,056,853-2,868,601-5,284,265-14,343,005-20,080,207-100,401,035

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 100,401,035:


Ask a Question