Q: What are the factor combinations of the number 155,311,249?

 A:
Positive:   1 x 15531124923 x 6752663107 x 1451507223 x 696463283 x 5488032461 x 631095129 x 302816509 x 23861
Negative: -1 x -155311249-23 x -6752663-107 x -1451507-223 x -696463-283 x -548803-2461 x -63109-5129 x -30281-6509 x -23861


How do I find the factor combinations of the number 155,311,249?

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 155,311,249, 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.

1 155,311,249
-1 -155,311,249

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 155,311,249.

Example:
1 x 155,311,249 = 155,311,249
and
-1 x -155,311,249 = 155,311,249
Notice both answers equal 155,311,249

With that explanation out of the way, let's continue. Next, we take the number 155,311,249 and divide it by 2:

155,311,249 ÷ 2 = 77,655,624.5

If the quotient is a whole number, then 2 and 77,655,624.5 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:

1 155,311,249
-1 -155,311,249

Now, we try dividing 155,311,249 by 3:

155,311,249 ÷ 3 = 51,770,416.3333

If the quotient is a whole number, then 3 and 51,770,416.3333 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:

1 155,311,249
-1 -155,311,249

Let's try dividing by 4:

155,311,249 ÷ 4 = 38,827,812.25

If the quotient is a whole number, then 4 and 38,827,812.25 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:

1 155,311,249
-1 155,311,249
Keep dividing by the next highest number until you cannot divide anymore.

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

1231072232832,4615,1296,50923,86130,28163,109548,803696,4631,451,5076,752,663155,311,249
-1-23-107-223-283-2,461-5,129-6,509-23,861-30,281-63,109-548,803-696,463-1,451,507-6,752,663-155,311,249

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