Q: What are the factor combinations of the number 77,337,125?

 A:
Positive:   1 x 773371255 x 1546742519 x 407037525 x 309348595 x 814075125 x 618697475 x 1628152375 x 32563
Negative: -1 x -77337125-5 x -15467425-19 x -4070375-25 x -3093485-95 x -814075-125 x -618697-475 x -162815-2375 x -32563


How do I find the factor combinations of the number 77,337,125?

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 77,337,125, 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 77,337,125
-1 -77,337,125

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 77,337,125.

Example:
1 x 77,337,125 = 77,337,125
and
-1 x -77,337,125 = 77,337,125
Notice both answers equal 77,337,125

With that explanation out of the way, let's continue. Next, we take the number 77,337,125 and divide it by 2:

77,337,125 ÷ 2 = 38,668,562.5

If the quotient is a whole number, then 2 and 38,668,562.5 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 77,337,125
-1 -77,337,125

Now, we try dividing 77,337,125 by 3:

77,337,125 ÷ 3 = 25,779,041.6667

If the quotient is a whole number, then 3 and 25,779,041.6667 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 77,337,125
-1 -77,337,125

Let's try dividing by 4:

77,337,125 ÷ 4 = 19,334,281.25

If the quotient is a whole number, then 4 and 19,334,281.25 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 77,337,125
-1 77,337,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,37532,563162,815618,697814,0753,093,4854,070,37515,467,42577,337,125
-1-5-19-25-95-125-475-2,375-32,563-162,815-618,697-814,075-3,093,485-4,070,375-15,467,425-77,337,125

More Examples

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