Q: What are the factor combinations of the number 155,241,697?

 A:
Positive:   1 x 15524169713 x 1194166923 x 6749639167 x 929591299 x 5192032171 x 715073109 x 499333841 x 40417
Negative: -1 x -155241697-13 x -11941669-23 x -6749639-167 x -929591-299 x -519203-2171 x -71507-3109 x -49933-3841 x -40417


How do I find the factor combinations of the number 155,241,697?

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 155,241,697, 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.

1 155,241,697
-1 -155,241,697

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 155,241,697.

Example:
1 x 155,241,697 = 155,241,697
and
-1 x -155,241,697 = 155,241,697
Notice both answers equal 155,241,697

With that explanation out of the way, let's continue. Next, we take the number 155,241,697 and divide it by 2:

155,241,697 ÷ 2 = 77,620,848.5

If the quotient is a whole number, then 2 and 77,620,848.5 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:

1 155,241,697
-1 -155,241,697

Now, we try dividing 155,241,697 by 3:

155,241,697 ÷ 3 = 51,747,232.3333

If the quotient is a whole number, then 3 and 51,747,232.3333 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:

1 155,241,697
-1 -155,241,697

Let's try dividing by 4:

155,241,697 ÷ 4 = 38,810,424.25

If the quotient is a whole number, then 4 and 38,810,424.25 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:

1 155,241,697
-1 155,241,697
Keep dividing by the next highest number until you cannot divide anymore.

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

113231672992,1713,1093,84140,41749,93371,507519,203929,5916,749,63911,941,669155,241,697
-1-13-23-167-299-2,171-3,109-3,841-40,417-49,933-71,507-519,203-929,591-6,749,639-11,941,669-155,241,697

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