Q: What are the factor combinations of the number 155,130,125?

 A:
Positive:   1 x 1551301255 x 3102602525 x 620520567 x 2315375125 x 1241041335 x 4630751675 x 926158375 x 18523
Negative: -1 x -155130125-5 x -31026025-25 x -6205205-67 x -2315375-125 x -1241041-335 x -463075-1675 x -92615-8375 x -18523


How do I find the factor combinations of the number 155,130,125?

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 155,130,125, 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.

1 155,130,125
-1 -155,130,125

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 155,130,125.

Example:
1 x 155,130,125 = 155,130,125
and
-1 x -155,130,125 = 155,130,125
Notice both answers equal 155,130,125

With that explanation out of the way, let's continue. Next, we take the number 155,130,125 and divide it by 2:

155,130,125 ÷ 2 = 77,565,062.5

If the quotient is a whole number, then 2 and 77,565,062.5 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:

1 155,130,125
-1 -155,130,125

Now, we try dividing 155,130,125 by 3:

155,130,125 ÷ 3 = 51,710,041.6667

If the quotient is a whole number, then 3 and 51,710,041.6667 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:

1 155,130,125
-1 -155,130,125

Let's try dividing by 4:

155,130,125 ÷ 4 = 38,782,531.25

If the quotient is a whole number, then 4 and 38,782,531.25 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:

1 155,130,125
-1 155,130,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525671253351,6758,37518,52392,615463,0751,241,0412,315,3756,205,20531,026,025155,130,125
-1-5-25-67-125-335-1,675-8,375-18,523-92,615-463,075-1,241,041-2,315,375-6,205,205-31,026,025-155,130,125

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