Q: What are the factor combinations of the number 155,002,331?

 A:
Positive:   1 x 15500233111 x 14091121103 x 1504877121 x 12810111133 x 13680712437 x 12463
Negative: -1 x -155002331-11 x -14091121-103 x -1504877-121 x -1281011-1133 x -136807-12437 x -12463


How do I find the factor combinations of the number 155,002,331?

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 155,002,331, 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.

1 155,002,331
-1 -155,002,331

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 155,002,331.

Example:
1 x 155,002,331 = 155,002,331
and
-1 x -155,002,331 = 155,002,331
Notice both answers equal 155,002,331

With that explanation out of the way, let's continue. Next, we take the number 155,002,331 and divide it by 2:

155,002,331 ÷ 2 = 77,501,165.5

If the quotient is a whole number, then 2 and 77,501,165.5 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:

1 155,002,331
-1 -155,002,331

Now, we try dividing 155,002,331 by 3:

155,002,331 ÷ 3 = 51,667,443.6667

If the quotient is a whole number, then 3 and 51,667,443.6667 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:

1 155,002,331
-1 -155,002,331

Let's try dividing by 4:

155,002,331 ÷ 4 = 38,750,582.75

If the quotient is a whole number, then 4 and 38,750,582.75 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:

1 155,002,331
-1 155,002,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1111031211,13312,43712,463136,8071,281,0111,504,87714,091,121155,002,331
-1-11-103-121-1,133-12,437-12,463-136,807-1,281,011-1,504,877-14,091,121-155,002,331

More Examples

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