Q: What are the factor combinations of the number 155,306,525?

 A:
Positive:   1 x 1553065255 x 3106130511 x 1411877525 x 621226155 x 2823755121 x 1283525275 x 564751605 x 2567053025 x 51341
Negative: -1 x -155306525-5 x -31061305-11 x -14118775-25 x -6212261-55 x -2823755-121 x -1283525-275 x -564751-605 x -256705-3025 x -51341


How do I find the factor combinations of the number 155,306,525?

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 155,306,525, 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.

1 155,306,525
-1 -155,306,525

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 155,306,525.

Example:
1 x 155,306,525 = 155,306,525
and
-1 x -155,306,525 = 155,306,525
Notice both answers equal 155,306,525

With that explanation out of the way, let's continue. Next, we take the number 155,306,525 and divide it by 2:

155,306,525 ÷ 2 = 77,653,262.5

If the quotient is a whole number, then 2 and 77,653,262.5 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:

1 155,306,525
-1 -155,306,525

Now, we try dividing 155,306,525 by 3:

155,306,525 ÷ 3 = 51,768,841.6667

If the quotient is a whole number, then 3 and 51,768,841.6667 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:

1 155,306,525
-1 -155,306,525

Let's try dividing by 4:

155,306,525 ÷ 4 = 38,826,631.25

If the quotient is a whole number, then 4 and 38,826,631.25 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:

1 155,306,525
-1 155,306,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551212756053,02551,341256,705564,7511,283,5252,823,7556,212,26114,118,77531,061,305155,306,525
-1-5-11-25-55-121-275-605-3,025-51,341-256,705-564,751-1,283,525-2,823,755-6,212,261-14,118,775-31,061,305-155,306,525

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