Q: What are the factor combinations of the number 155,601,985?

 A:
Positive:   1 x 1556019855 x 311203977 x 2222885511 x 1414563535 x 444577155 x 282912777 x 2020805385 x 404161
Negative: -1 x -155601985-5 x -31120397-7 x -22228855-11 x -14145635-35 x -4445771-55 x -2829127-77 x -2020805-385 x -404161


How do I find the factor combinations of the number 155,601,985?

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 155,601,985, 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.

1 155,601,985
-1 -155,601,985

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 155,601,985.

Example:
1 x 155,601,985 = 155,601,985
and
-1 x -155,601,985 = 155,601,985
Notice both answers equal 155,601,985

With that explanation out of the way, let's continue. Next, we take the number 155,601,985 and divide it by 2:

155,601,985 ÷ 2 = 77,800,992.5

If the quotient is a whole number, then 2 and 77,800,992.5 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:

1 155,601,985
-1 -155,601,985

Now, we try dividing 155,601,985 by 3:

155,601,985 ÷ 3 = 51,867,328.3333

If the quotient is a whole number, then 3 and 51,867,328.3333 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:

1 155,601,985
-1 -155,601,985

Let's try dividing by 4:

155,601,985 ÷ 4 = 38,900,496.25

If the quotient is a whole number, then 4 and 38,900,496.25 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:

1 155,601,985
-1 155,601,985
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385404,1612,020,8052,829,1274,445,77114,145,63522,228,85531,120,397155,601,985
-1-5-7-11-35-55-77-385-404,161-2,020,805-2,829,127-4,445,771-14,145,635-22,228,855-31,120,397-155,601,985

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