Q: What are the factor combinations of the number 155,426,341?

 A:
Positive:   1 x 1554263417 x 2220376323 x 675766729 x 5359529161 x 965381203 x 765647667 x 2330234669 x 33289
Negative: -1 x -155426341-7 x -22203763-23 x -6757667-29 x -5359529-161 x -965381-203 x -765647-667 x -233023-4669 x -33289


How do I find the factor combinations of the number 155,426,341?

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 155,426,341, 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.

1 155,426,341
-1 -155,426,341

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 155,426,341.

Example:
1 x 155,426,341 = 155,426,341
and
-1 x -155,426,341 = 155,426,341
Notice both answers equal 155,426,341

With that explanation out of the way, let's continue. Next, we take the number 155,426,341 and divide it by 2:

155,426,341 ÷ 2 = 77,713,170.5

If the quotient is a whole number, then 2 and 77,713,170.5 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:

1 155,426,341
-1 -155,426,341

Now, we try dividing 155,426,341 by 3:

155,426,341 ÷ 3 = 51,808,780.3333

If the quotient is a whole number, then 3 and 51,808,780.3333 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:

1 155,426,341
-1 -155,426,341

Let's try dividing by 4:

155,426,341 ÷ 4 = 38,856,585.25

If the quotient is a whole number, then 4 and 38,856,585.25 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:

1 155,426,341
-1 155,426,341
Keep dividing by the next highest number until you cannot divide anymore.

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

1723291612036674,66933,289233,023765,647965,3815,359,5296,757,66722,203,763155,426,341
-1-7-23-29-161-203-667-4,669-33,289-233,023-765,647-965,381-5,359,529-6,757,667-22,203,763-155,426,341

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