Q: What are the factor combinations of the number 134,103,425?

 A:
Positive:   1 x 1341034255 x 2682068519 x 705807525 x 536413795 x 1411615103 x 1301975475 x 282323515 x 2603951957 x 685252575 x 520792741 x 489259785 x 13705
Negative: -1 x -134103425-5 x -26820685-19 x -7058075-25 x -5364137-95 x -1411615-103 x -1301975-475 x -282323-515 x -260395-1957 x -68525-2575 x -52079-2741 x -48925-9785 x -13705


How do I find the factor combinations of the number 134,103,425?

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 134,103,425, 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.

1 134,103,425
-1 -134,103,425

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 134,103,425.

Example:
1 x 134,103,425 = 134,103,425
and
-1 x -134,103,425 = 134,103,425
Notice both answers equal 134,103,425

With that explanation out of the way, let's continue. Next, we take the number 134,103,425 and divide it by 2:

134,103,425 ÷ 2 = 67,051,712.5

If the quotient is a whole number, then 2 and 67,051,712.5 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:

1 134,103,425
-1 -134,103,425

Now, we try dividing 134,103,425 by 3:

134,103,425 ÷ 3 = 44,701,141.6667

If the quotient is a whole number, then 3 and 44,701,141.6667 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:

1 134,103,425
-1 -134,103,425

Let's try dividing by 4:

134,103,425 ÷ 4 = 33,525,856.25

If the quotient is a whole number, then 4 and 33,525,856.25 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:

1 134,103,425
-1 134,103,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951034755151,9572,5752,7419,78513,70548,92552,07968,525260,395282,3231,301,9751,411,6155,364,1377,058,07526,820,685134,103,425
-1-5-19-25-95-103-475-515-1,957-2,575-2,741-9,785-13,705-48,925-52,079-68,525-260,395-282,323-1,301,975-1,411,615-5,364,137-7,058,075-26,820,685-134,103,425

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