Q: What are the factor combinations of the number 75,505,625?

 A:
Positive:   1 x 755056255 x 1510112513 x 580812525 x 302022565 x 1161625125 x 604045325 x 232325625 x 1208091625 x 464658125 x 9293
Negative: -1 x -75505625-5 x -15101125-13 x -5808125-25 x -3020225-65 x -1161625-125 x -604045-325 x -232325-625 x -120809-1625 x -46465-8125 x -9293


How do I find the factor combinations of the number 75,505,625?

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 75,505,625, 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 75,505,625
-1 -75,505,625

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 75,505,625.

Example:
1 x 75,505,625 = 75,505,625
and
-1 x -75,505,625 = 75,505,625
Notice both answers equal 75,505,625

With that explanation out of the way, let's continue. Next, we take the number 75,505,625 and divide it by 2:

75,505,625 ÷ 2 = 37,752,812.5

If the quotient is a whole number, then 2 and 37,752,812.5 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 75,505,625
-1 -75,505,625

Now, we try dividing 75,505,625 by 3:

75,505,625 ÷ 3 = 25,168,541.6667

If the quotient is a whole number, then 3 and 25,168,541.6667 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 75,505,625
-1 -75,505,625

Let's try dividing by 4:

75,505,625 ÷ 4 = 18,876,406.25

If the quotient is a whole number, then 4 and 18,876,406.25 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 75,505,625
-1 75,505,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253256251,6258,1259,29346,465120,809232,325604,0451,161,6253,020,2255,808,12515,101,12575,505,625
-1-5-13-25-65-125-325-625-1,625-8,125-9,293-46,465-120,809-232,325-604,045-1,161,625-3,020,225-5,808,125-15,101,125-75,505,625

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