Q: What are the factor combinations of the number 104,524,585?

 A:
Positive:   1 x 1045245855 x 2090491711 x 950223517 x 614850555 x 190044785 x 1229701187 x 558955935 x 111791
Negative: -1 x -104524585-5 x -20904917-11 x -9502235-17 x -6148505-55 x -1900447-85 x -1229701-187 x -558955-935 x -111791


How do I find the factor combinations of the number 104,524,585?

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 104,524,585, 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.

1 104,524,585
-1 -104,524,585

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 104,524,585.

Example:
1 x 104,524,585 = 104,524,585
and
-1 x -104,524,585 = 104,524,585
Notice both answers equal 104,524,585

With that explanation out of the way, let's continue. Next, we take the number 104,524,585 and divide it by 2:

104,524,585 ÷ 2 = 52,262,292.5

If the quotient is a whole number, then 2 and 52,262,292.5 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:

1 104,524,585
-1 -104,524,585

Now, we try dividing 104,524,585 by 3:

104,524,585 ÷ 3 = 34,841,528.3333

If the quotient is a whole number, then 3 and 34,841,528.3333 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:

1 104,524,585
-1 -104,524,585

Let's try dividing by 4:

104,524,585 ÷ 4 = 26,131,146.25

If the quotient is a whole number, then 4 and 26,131,146.25 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:

1 104,524,585
-1 104,524,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935111,791558,9551,229,7011,900,4476,148,5059,502,23520,904,917104,524,585
-1-5-11-17-55-85-187-935-111,791-558,955-1,229,701-1,900,447-6,148,505-9,502,235-20,904,917-104,524,585

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 104,524,585:


Ask a Question