Q: What are the factor combinations of the number 112,302,125?

 A:
Positive:   1 x 1123021255 x 2246042513 x 863862525 x 449208565 x 1727725125 x 898417325 x 3455451625 x 69109
Negative: -1 x -112302125-5 x -22460425-13 x -8638625-25 x -4492085-65 x -1727725-125 x -898417-325 x -345545-1625 x -69109


How do I find the factor combinations of the number 112,302,125?

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 112,302,125, 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.

1 112,302,125
-1 -112,302,125

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 112,302,125.

Example:
1 x 112,302,125 = 112,302,125
and
-1 x -112,302,125 = 112,302,125
Notice both answers equal 112,302,125

With that explanation out of the way, let's continue. Next, we take the number 112,302,125 and divide it by 2:

112,302,125 ÷ 2 = 56,151,062.5

If the quotient is a whole number, then 2 and 56,151,062.5 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:

1 112,302,125
-1 -112,302,125

Now, we try dividing 112,302,125 by 3:

112,302,125 ÷ 3 = 37,434,041.6667

If the quotient is a whole number, then 3 and 37,434,041.6667 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:

1 112,302,125
-1 -112,302,125

Let's try dividing by 4:

112,302,125 ÷ 4 = 28,075,531.25

If the quotient is a whole number, then 4 and 28,075,531.25 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:

1 112,302,125
-1 112,302,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,62569,109345,545898,4171,727,7254,492,0858,638,62522,460,425112,302,125
-1-5-13-25-65-125-325-1,625-69,109-345,545-898,417-1,727,725-4,492,085-8,638,625-22,460,425-112,302,125

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