Q: What are the factor combinations of the number 155,134,105?

 A:
Positive:   1 x 1551341055 x 310268217 x 2216201535 x 4432403953 x 1627854651 x 333554765 x 325576671 x 23255
Negative: -1 x -155134105-5 x -31026821-7 x -22162015-35 x -4432403-953 x -162785-4651 x -33355-4765 x -32557-6671 x -23255


How do I find the factor combinations of the number 155,134,105?

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 155,134,105, 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.

1 155,134,105
-1 -155,134,105

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 155,134,105.

Example:
1 x 155,134,105 = 155,134,105
and
-1 x -155,134,105 = 155,134,105
Notice both answers equal 155,134,105

With that explanation out of the way, let's continue. Next, we take the number 155,134,105 and divide it by 2:

155,134,105 ÷ 2 = 77,567,052.5

If the quotient is a whole number, then 2 and 77,567,052.5 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:

1 155,134,105
-1 -155,134,105

Now, we try dividing 155,134,105 by 3:

155,134,105 ÷ 3 = 51,711,368.3333

If the quotient is a whole number, then 3 and 51,711,368.3333 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:

1 155,134,105
-1 -155,134,105

Let's try dividing by 4:

155,134,105 ÷ 4 = 38,783,526.25

If the quotient is a whole number, then 4 and 38,783,526.25 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:

1 155,134,105
-1 155,134,105
Keep dividing by the next highest number until you cannot divide anymore.

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

157359534,6514,7656,67123,25532,55733,355162,7854,432,40322,162,01531,026,821155,134,105
-1-5-7-35-953-4,651-4,765-6,671-23,255-32,557-33,355-162,785-4,432,403-22,162,015-31,026,821-155,134,105

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