Q: What are the factor combinations of the number 104,887,152?

 A:
Positive:   1 x 1048871522 x 524435763 x 349623844 x 262217886 x 174811928 x 131108949 x 1165412812 x 874059616 x 655544718 x 582706424 x 437029836 x 291353248 x 218514972 x 1456766144 x 728383
Negative: -1 x -104887152-2 x -52443576-3 x -34962384-4 x -26221788-6 x -17481192-8 x -13110894-9 x -11654128-12 x -8740596-16 x -6555447-18 x -5827064-24 x -4370298-36 x -2913532-48 x -2185149-72 x -1456766-144 x -728383


How do I find the factor combinations of the number 104,887,152?

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 104,887,152, 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.

1 104,887,152
-1 -104,887,152

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 104,887,152.

Example:
1 x 104,887,152 = 104,887,152
and
-1 x -104,887,152 = 104,887,152
Notice both answers equal 104,887,152

With that explanation out of the way, let's continue. Next, we take the number 104,887,152 and divide it by 2:

104,887,152 ÷ 2 = 52,443,576

If the quotient is a whole number, then 2 and 52,443,576 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 52,443,576 104,887,152
-1 -2 -52,443,576 -104,887,152

Now, we try dividing 104,887,152 by 3:

104,887,152 ÷ 3 = 34,962,384

If the quotient is a whole number, then 3 and 34,962,384 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 34,962,384 52,443,576 104,887,152
-1 -2 -3 -34,962,384 -52,443,576 -104,887,152

Let's try dividing by 4:

104,887,152 ÷ 4 = 26,221,788

If the quotient is a whole number, then 4 and 26,221,788 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 26,221,788 34,962,384 52,443,576 104,887,152
-1 -2 -3 -4 -26,221,788 -34,962,384 -52,443,576 104,887,152
Keep dividing by the next highest number until you cannot divide anymore.

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

123468912161824364872144728,3831,456,7662,185,1492,913,5324,370,2985,827,0646,555,4478,740,59611,654,12813,110,89417,481,19226,221,78834,962,38452,443,576104,887,152
-1-2-3-4-6-8-9-12-16-18-24-36-48-72-144-728,383-1,456,766-2,185,149-2,913,532-4,370,298-5,827,064-6,555,447-8,740,596-11,654,128-13,110,894-17,481,192-26,221,788-34,962,384-52,443,576-104,887,152

More Examples

Here are some more numbers to try:

104,887,150104,887,151104,887,153104,887,154
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