Q: What are the factor combinations of the number 155,011,241?

 A:
Positive:   1 x 1550112417 x 2214446311 x 1409193137 x 418949377 x 2013133259 x 598499407 x 3808632849 x 54409
Negative: -1 x -155011241-7 x -22144463-11 x -14091931-37 x -4189493-77 x -2013133-259 x -598499-407 x -380863-2849 x -54409


How do I find the factor combinations of the number 155,011,241?

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 155,011,241, 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.

1 155,011,241
-1 -155,011,241

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 155,011,241.

Example:
1 x 155,011,241 = 155,011,241
and
-1 x -155,011,241 = 155,011,241
Notice both answers equal 155,011,241

With that explanation out of the way, let's continue. Next, we take the number 155,011,241 and divide it by 2:

155,011,241 ÷ 2 = 77,505,620.5

If the quotient is a whole number, then 2 and 77,505,620.5 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:

1 155,011,241
-1 -155,011,241

Now, we try dividing 155,011,241 by 3:

155,011,241 ÷ 3 = 51,670,413.6667

If the quotient is a whole number, then 3 and 51,670,413.6667 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:

1 155,011,241
-1 -155,011,241

Let's try dividing by 4:

155,011,241 ÷ 4 = 38,752,810.25

If the quotient is a whole number, then 4 and 38,752,810.25 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:

1 155,011,241
-1 155,011,241
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,84954,409380,863598,4992,013,1334,189,49314,091,93122,144,463155,011,241
-1-7-11-37-77-259-407-2,849-54,409-380,863-598,499-2,013,133-4,189,493-14,091,931-22,144,463-155,011,241

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