Q: What are the factor combinations of the number 155,601,617?

 A:
Positive:   1 x 15560161729 x 536557331 x 501940773 x 2131529899 x 1730832117 x 735012263 x 687592371 x 65627
Negative: -1 x -155601617-29 x -5365573-31 x -5019407-73 x -2131529-899 x -173083-2117 x -73501-2263 x -68759-2371 x -65627


How do I find the factor combinations of the number 155,601,617?

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 155,601,617, 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.

1 155,601,617
-1 -155,601,617

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 155,601,617.

Example:
1 x 155,601,617 = 155,601,617
and
-1 x -155,601,617 = 155,601,617
Notice both answers equal 155,601,617

With that explanation out of the way, let's continue. Next, we take the number 155,601,617 and divide it by 2:

155,601,617 ÷ 2 = 77,800,808.5

If the quotient is a whole number, then 2 and 77,800,808.5 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:

1 155,601,617
-1 -155,601,617

Now, we try dividing 155,601,617 by 3:

155,601,617 ÷ 3 = 51,867,205.6667

If the quotient is a whole number, then 3 and 51,867,205.6667 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:

1 155,601,617
-1 -155,601,617

Let's try dividing by 4:

155,601,617 ÷ 4 = 38,900,404.25

If the quotient is a whole number, then 4 and 38,900,404.25 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:

1 155,601,617
-1 155,601,617
Keep dividing by the next highest number until you cannot divide anymore.

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

12931738992,1172,2632,37165,62768,75973,501173,0832,131,5295,019,4075,365,573155,601,617
-1-29-31-73-899-2,117-2,263-2,371-65,627-68,759-73,501-173,083-2,131,529-5,019,407-5,365,573-155,601,617

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