Q: What are the factor combinations of the number 150,146,633?

 A:
Positive:   1 x 1501466337 x 2144951913 x 1154974141 x 366211349 x 306421791 x 1649963287 x 523159533 x 281701637 x 2357092009 x 747373731 x 402435749 x 26117
Negative: -1 x -150146633-7 x -21449519-13 x -11549741-41 x -3662113-49 x -3064217-91 x -1649963-287 x -523159-533 x -281701-637 x -235709-2009 x -74737-3731 x -40243-5749 x -26117


How do I find the factor combinations of the number 150,146,633?

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 150,146,633, 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.

1 150,146,633
-1 -150,146,633

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 150,146,633.

Example:
1 x 150,146,633 = 150,146,633
and
-1 x -150,146,633 = 150,146,633
Notice both answers equal 150,146,633

With that explanation out of the way, let's continue. Next, we take the number 150,146,633 and divide it by 2:

150,146,633 ÷ 2 = 75,073,316.5

If the quotient is a whole number, then 2 and 75,073,316.5 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:

1 150,146,633
-1 -150,146,633

Now, we try dividing 150,146,633 by 3:

150,146,633 ÷ 3 = 50,048,877.6667

If the quotient is a whole number, then 3 and 50,048,877.6667 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:

1 150,146,633
-1 -150,146,633

Let's try dividing by 4:

150,146,633 ÷ 4 = 37,536,658.25

If the quotient is a whole number, then 4 and 37,536,658.25 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:

1 150,146,633
-1 150,146,633
Keep dividing by the next highest number until you cannot divide anymore.

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

17134149912875336372,0093,7315,74926,11740,24374,737235,709281,701523,1591,649,9633,064,2173,662,11311,549,74121,449,519150,146,633
-1-7-13-41-49-91-287-533-637-2,009-3,731-5,749-26,117-40,243-74,737-235,709-281,701-523,159-1,649,963-3,064,217-3,662,113-11,549,741-21,449,519-150,146,633

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