Q: What are the factor combinations of the number 155,929,975?

 A:
Positive:   1 x 1559299755 x 3118599525 x 623719953 x 2942075137 x 1138175265 x 588415685 x 227635859 x 1815251325 x 1176833425 x 455274295 x 363057261 x 21475
Negative: -1 x -155929975-5 x -31185995-25 x -6237199-53 x -2942075-137 x -1138175-265 x -588415-685 x -227635-859 x -181525-1325 x -117683-3425 x -45527-4295 x -36305-7261 x -21475


How do I find the factor combinations of the number 155,929,975?

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 155,929,975, 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.

1 155,929,975
-1 -155,929,975

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 155,929,975.

Example:
1 x 155,929,975 = 155,929,975
and
-1 x -155,929,975 = 155,929,975
Notice both answers equal 155,929,975

With that explanation out of the way, let's continue. Next, we take the number 155,929,975 and divide it by 2:

155,929,975 ÷ 2 = 77,964,987.5

If the quotient is a whole number, then 2 and 77,964,987.5 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:

1 155,929,975
-1 -155,929,975

Now, we try dividing 155,929,975 by 3:

155,929,975 ÷ 3 = 51,976,658.3333

If the quotient is a whole number, then 3 and 51,976,658.3333 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:

1 155,929,975
-1 -155,929,975

Let's try dividing by 4:

155,929,975 ÷ 4 = 38,982,493.75

If the quotient is a whole number, then 4 and 38,982,493.75 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:

1 155,929,975
-1 155,929,975
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531372656858591,3253,4254,2957,26121,47536,30545,527117,683181,525227,635588,4151,138,1752,942,0756,237,19931,185,995155,929,975
-1-5-25-53-137-265-685-859-1,325-3,425-4,295-7,261-21,475-36,305-45,527-117,683-181,525-227,635-588,415-1,138,175-2,942,075-6,237,199-31,185,995-155,929,975

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