Q: What are the factor combinations of the number 153,025,525?

 A:
Positive:   1 x 1530255255 x 3060510519 x 805397525 x 612102137 x 413582595 x 1610795185 x 827165475 x 322159703 x 217675925 x 1654333515 x 435358707 x 17575
Negative: -1 x -153025525-5 x -30605105-19 x -8053975-25 x -6121021-37 x -4135825-95 x -1610795-185 x -827165-475 x -322159-703 x -217675-925 x -165433-3515 x -43535-8707 x -17575


How do I find the factor combinations of the number 153,025,525?

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 153,025,525, 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.

1 153,025,525
-1 -153,025,525

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 153,025,525.

Example:
1 x 153,025,525 = 153,025,525
and
-1 x -153,025,525 = 153,025,525
Notice both answers equal 153,025,525

With that explanation out of the way, let's continue. Next, we take the number 153,025,525 and divide it by 2:

153,025,525 ÷ 2 = 76,512,762.5

If the quotient is a whole number, then 2 and 76,512,762.5 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:

1 153,025,525
-1 -153,025,525

Now, we try dividing 153,025,525 by 3:

153,025,525 ÷ 3 = 51,008,508.3333

If the quotient is a whole number, then 3 and 51,008,508.3333 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:

1 153,025,525
-1 -153,025,525

Let's try dividing by 4:

153,025,525 ÷ 4 = 38,256,381.25

If the quotient is a whole number, then 4 and 38,256,381.25 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:

1 153,025,525
-1 153,025,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15192537951854757039253,5158,70717,57543,535165,433217,675322,159827,1651,610,7954,135,8256,121,0218,053,97530,605,105153,025,525
-1-5-19-25-37-95-185-475-703-925-3,515-8,707-17,575-43,535-165,433-217,675-322,159-827,165-1,610,795-4,135,825-6,121,021-8,053,975-30,605,105-153,025,525

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