Q: What are the factor combinations of the number 102,122,137?

 A:
Positive:   1 x 10212213713 x 785554929 x 352145367 x 1524211169 x 604273311 x 328367377 x 270881871 x 1172471943 x 525594043 x 252594901 x 208379019 x 11323
Negative: -1 x -102122137-13 x -7855549-29 x -3521453-67 x -1524211-169 x -604273-311 x -328367-377 x -270881-871 x -117247-1943 x -52559-4043 x -25259-4901 x -20837-9019 x -11323


How do I find the factor combinations of the number 102,122,137?

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 102,122,137, 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.

1 102,122,137
-1 -102,122,137

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 102,122,137.

Example:
1 x 102,122,137 = 102,122,137
and
-1 x -102,122,137 = 102,122,137
Notice both answers equal 102,122,137

With that explanation out of the way, let's continue. Next, we take the number 102,122,137 and divide it by 2:

102,122,137 ÷ 2 = 51,061,068.5

If the quotient is a whole number, then 2 and 51,061,068.5 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:

1 102,122,137
-1 -102,122,137

Now, we try dividing 102,122,137 by 3:

102,122,137 ÷ 3 = 34,040,712.3333

If the quotient is a whole number, then 3 and 34,040,712.3333 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:

1 102,122,137
-1 -102,122,137

Let's try dividing by 4:

102,122,137 ÷ 4 = 25,530,534.25

If the quotient is a whole number, then 4 and 25,530,534.25 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:

1 102,122,137
-1 102,122,137
Keep dividing by the next highest number until you cannot divide anymore.

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

11329671693113778711,9434,0434,9019,01911,32320,83725,25952,559117,247270,881328,367604,2731,524,2113,521,4537,855,549102,122,137
-1-13-29-67-169-311-377-871-1,943-4,043-4,901-9,019-11,323-20,837-25,259-52,559-117,247-270,881-328,367-604,273-1,524,211-3,521,453-7,855,549-102,122,137

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