Q: What are the factor combinations of the number 155,002,309?

 A:
Positive:   1 x 1550023097 x 2214318711 x 1409111977 x 2013017433 x 3579733031 x 511394649 x 333414763 x 32543
Negative: -1 x -155002309-7 x -22143187-11 x -14091119-77 x -2013017-433 x -357973-3031 x -51139-4649 x -33341-4763 x -32543


How do I find the factor combinations of the number 155,002,309?

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 155,002,309, 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.

1 155,002,309
-1 -155,002,309

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 155,002,309.

Example:
1 x 155,002,309 = 155,002,309
and
-1 x -155,002,309 = 155,002,309
Notice both answers equal 155,002,309

With that explanation out of the way, let's continue. Next, we take the number 155,002,309 and divide it by 2:

155,002,309 ÷ 2 = 77,501,154.5

If the quotient is a whole number, then 2 and 77,501,154.5 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:

1 155,002,309
-1 -155,002,309

Now, we try dividing 155,002,309 by 3:

155,002,309 ÷ 3 = 51,667,436.3333

If the quotient is a whole number, then 3 and 51,667,436.3333 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:

1 155,002,309
-1 -155,002,309

Let's try dividing by 4:

155,002,309 ÷ 4 = 38,750,577.25

If the quotient is a whole number, then 4 and 38,750,577.25 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:

1 155,002,309
-1 155,002,309
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774333,0314,6494,76332,54333,34151,139357,9732,013,01714,091,11922,143,187155,002,309
-1-7-11-77-433-3,031-4,649-4,763-32,543-33,341-51,139-357,973-2,013,017-14,091,119-22,143,187-155,002,309

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