Q: What are the factor combinations of the number 150,477,257?

 A:
Positive:   1 x 1504772577 x 2149675141 x 367017783 x 1812979287 x 524311581 x 2589973403 x 442196317 x 23821
Negative: -1 x -150477257-7 x -21496751-41 x -3670177-83 x -1812979-287 x -524311-581 x -258997-3403 x -44219-6317 x -23821


How do I find the factor combinations of the number 150,477,257?

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 150,477,257, 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.

1 150,477,257
-1 -150,477,257

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 150,477,257.

Example:
1 x 150,477,257 = 150,477,257
and
-1 x -150,477,257 = 150,477,257
Notice both answers equal 150,477,257

With that explanation out of the way, let's continue. Next, we take the number 150,477,257 and divide it by 2:

150,477,257 ÷ 2 = 75,238,628.5

If the quotient is a whole number, then 2 and 75,238,628.5 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:

1 150,477,257
-1 -150,477,257

Now, we try dividing 150,477,257 by 3:

150,477,257 ÷ 3 = 50,159,085.6667

If the quotient is a whole number, then 3 and 50,159,085.6667 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:

1 150,477,257
-1 -150,477,257

Let's try dividing by 4:

150,477,257 ÷ 4 = 37,619,314.25

If the quotient is a whole number, then 4 and 37,619,314.25 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:

1 150,477,257
-1 150,477,257
Keep dividing by the next highest number until you cannot divide anymore.

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

1741832875813,4036,31723,82144,219258,997524,3111,812,9793,670,17721,496,751150,477,257
-1-7-41-83-287-581-3,403-6,317-23,821-44,219-258,997-524,311-1,812,979-3,670,177-21,496,751-150,477,257

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