Q: What are the factor combinations of the number 152,501,041?

 A:
Positive:   1 x 1525010417 x 2178586311 x 1386373147 x 324470377 x 1980533329 x 463529517 x 2949733619 x 42139
Negative: -1 x -152501041-7 x -21785863-11 x -13863731-47 x -3244703-77 x -1980533-329 x -463529-517 x -294973-3619 x -42139


How do I find the factor combinations of the number 152,501,041?

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 152,501,041, 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.

1 152,501,041
-1 -152,501,041

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 152,501,041.

Example:
1 x 152,501,041 = 152,501,041
and
-1 x -152,501,041 = 152,501,041
Notice both answers equal 152,501,041

With that explanation out of the way, let's continue. Next, we take the number 152,501,041 and divide it by 2:

152,501,041 ÷ 2 = 76,250,520.5

If the quotient is a whole number, then 2 and 76,250,520.5 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:

1 152,501,041
-1 -152,501,041

Now, we try dividing 152,501,041 by 3:

152,501,041 ÷ 3 = 50,833,680.3333

If the quotient is a whole number, then 3 and 50,833,680.3333 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:

1 152,501,041
-1 -152,501,041

Let's try dividing by 4:

152,501,041 ÷ 4 = 38,125,260.25

If the quotient is a whole number, then 4 and 38,125,260.25 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:

1 152,501,041
-1 152,501,041
Keep dividing by the next highest number until you cannot divide anymore.

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

171147773295173,61942,139294,973463,5291,980,5333,244,70313,863,73121,785,863152,501,041
-1-7-11-47-77-329-517-3,619-42,139-294,973-463,529-1,980,533-3,244,703-13,863,731-21,785,863-152,501,041

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