Q: What are the factor combinations of the number 155,591,515?

 A:
Positive:   1 x 1555915155 x 3111830341 x 3794915205 x 758983331 x 4700651655 x 940132293 x 6785511465 x 13571
Negative: -1 x -155591515-5 x -31118303-41 x -3794915-205 x -758983-331 x -470065-1655 x -94013-2293 x -67855-11465 x -13571


How do I find the factor combinations of the number 155,591,515?

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 155,591,515, 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.

1 155,591,515
-1 -155,591,515

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 155,591,515.

Example:
1 x 155,591,515 = 155,591,515
and
-1 x -155,591,515 = 155,591,515
Notice both answers equal 155,591,515

With that explanation out of the way, let's continue. Next, we take the number 155,591,515 and divide it by 2:

155,591,515 ÷ 2 = 77,795,757.5

If the quotient is a whole number, then 2 and 77,795,757.5 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:

1 155,591,515
-1 -155,591,515

Now, we try dividing 155,591,515 by 3:

155,591,515 ÷ 3 = 51,863,838.3333

If the quotient is a whole number, then 3 and 51,863,838.3333 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:

1 155,591,515
-1 -155,591,515

Let's try dividing by 4:

155,591,515 ÷ 4 = 38,897,878.75

If the quotient is a whole number, then 4 and 38,897,878.75 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:

1 155,591,515
-1 155,591,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15412053311,6552,29311,46513,57167,85594,013470,065758,9833,794,91531,118,303155,591,515
-1-5-41-205-331-1,655-2,293-11,465-13,571-67,855-94,013-470,065-758,983-3,794,915-31,118,303-155,591,515

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