Q: What are the factor combinations of the number 155,002,525?

 A:
Positive:   1 x 1550025255 x 3100050525 x 620010161 x 2541025305 x 5082051525 x 101641
Negative: -1 x -155002525-5 x -31000505-25 x -6200101-61 x -2541025-305 x -508205-1525 x -101641


How do I find the factor combinations of the number 155,002,525?

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 155,002,525, 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.

1 155,002,525
-1 -155,002,525

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 155,002,525.

Example:
1 x 155,002,525 = 155,002,525
and
-1 x -155,002,525 = 155,002,525
Notice both answers equal 155,002,525

With that explanation out of the way, let's continue. Next, we take the number 155,002,525 and divide it by 2:

155,002,525 ÷ 2 = 77,501,262.5

If the quotient is a whole number, then 2 and 77,501,262.5 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:

1 155,002,525
-1 -155,002,525

Now, we try dividing 155,002,525 by 3:

155,002,525 ÷ 3 = 51,667,508.3333

If the quotient is a whole number, then 3 and 51,667,508.3333 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:

1 155,002,525
-1 -155,002,525

Let's try dividing by 4:

155,002,525 ÷ 4 = 38,750,631.25

If the quotient is a whole number, then 4 and 38,750,631.25 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:

1 155,002,525
-1 155,002,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1525613051,525101,641508,2052,541,0256,200,10131,000,505155,002,525
-1-5-25-61-305-1,525-101,641-508,205-2,541,025-6,200,101-31,000,505-155,002,525

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