Q: What are the factor combinations of the number 155,122,205?

 A:
Positive:   1 x 1551222055 x 310244417 x 2216031535 x 4432063283 x 5481351415 x 1096271981 x 783059905 x 15661
Negative: -1 x -155122205-5 x -31024441-7 x -22160315-35 x -4432063-283 x -548135-1415 x -109627-1981 x -78305-9905 x -15661


How do I find the factor combinations of the number 155,122,205?

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 155,122,205, 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.

1 155,122,205
-1 -155,122,205

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 155,122,205.

Example:
1 x 155,122,205 = 155,122,205
and
-1 x -155,122,205 = 155,122,205
Notice both answers equal 155,122,205

With that explanation out of the way, let's continue. Next, we take the number 155,122,205 and divide it by 2:

155,122,205 ÷ 2 = 77,561,102.5

If the quotient is a whole number, then 2 and 77,561,102.5 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:

1 155,122,205
-1 -155,122,205

Now, we try dividing 155,122,205 by 3:

155,122,205 ÷ 3 = 51,707,401.6667

If the quotient is a whole number, then 3 and 51,707,401.6667 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:

1 155,122,205
-1 -155,122,205

Let's try dividing by 4:

155,122,205 ÷ 4 = 38,780,551.25

If the quotient is a whole number, then 4 and 38,780,551.25 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:

1 155,122,205
-1 155,122,205
Keep dividing by the next highest number until you cannot divide anymore.

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

157352831,4151,9819,90515,66178,305109,627548,1354,432,06322,160,31531,024,441155,122,205
-1-5-7-35-283-1,415-1,981-9,905-15,661-78,305-109,627-548,135-4,432,063-22,160,315-31,024,441-155,122,205

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