Q: What are the factor combinations of the number 155,300,185?

 A:
Positive:   1 x 1553001855 x 3106003717 x 913530585 x 1827061263 x 5904951315 x 1180994471 x 347356947 x 22355
Negative: -1 x -155300185-5 x -31060037-17 x -9135305-85 x -1827061-263 x -590495-1315 x -118099-4471 x -34735-6947 x -22355


How do I find the factor combinations of the number 155,300,185?

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 155,300,185, 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.

1 155,300,185
-1 -155,300,185

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 155,300,185.

Example:
1 x 155,300,185 = 155,300,185
and
-1 x -155,300,185 = 155,300,185
Notice both answers equal 155,300,185

With that explanation out of the way, let's continue. Next, we take the number 155,300,185 and divide it by 2:

155,300,185 ÷ 2 = 77,650,092.5

If the quotient is a whole number, then 2 and 77,650,092.5 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:

1 155,300,185
-1 -155,300,185

Now, we try dividing 155,300,185 by 3:

155,300,185 ÷ 3 = 51,766,728.3333

If the quotient is a whole number, then 3 and 51,766,728.3333 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:

1 155,300,185
-1 -155,300,185

Let's try dividing by 4:

155,300,185 ÷ 4 = 38,825,046.25

If the quotient is a whole number, then 4 and 38,825,046.25 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:

1 155,300,185
-1 155,300,185
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852631,3154,4716,94722,35534,735118,099590,4951,827,0619,135,30531,060,037155,300,185
-1-5-17-85-263-1,315-4,471-6,947-22,355-34,735-118,099-590,495-1,827,061-9,135,305-31,060,037-155,300,185

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