Q: What are the factor combinations of the number 150,318,961?

 A:
Positive:   1 x 15031896113 x 1156299723 x 653560759 x 2547779299 x 502739767 x 1959831357 x 1107738521 x 17641
Negative: -1 x -150318961-13 x -11562997-23 x -6535607-59 x -2547779-299 x -502739-767 x -195983-1357 x -110773-8521 x -17641


How do I find the factor combinations of the number 150,318,961?

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 150,318,961, 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.

1 150,318,961
-1 -150,318,961

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 150,318,961.

Example:
1 x 150,318,961 = 150,318,961
and
-1 x -150,318,961 = 150,318,961
Notice both answers equal 150,318,961

With that explanation out of the way, let's continue. Next, we take the number 150,318,961 and divide it by 2:

150,318,961 ÷ 2 = 75,159,480.5

If the quotient is a whole number, then 2 and 75,159,480.5 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:

1 150,318,961
-1 -150,318,961

Now, we try dividing 150,318,961 by 3:

150,318,961 ÷ 3 = 50,106,320.3333

If the quotient is a whole number, then 3 and 50,106,320.3333 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:

1 150,318,961
-1 -150,318,961

Let's try dividing by 4:

150,318,961 ÷ 4 = 37,579,740.25

If the quotient is a whole number, then 4 and 37,579,740.25 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:

1 150,318,961
-1 150,318,961
Keep dividing by the next highest number until you cannot divide anymore.

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

11323592997671,3578,52117,641110,773195,983502,7392,547,7796,535,60711,562,997150,318,961
-1-13-23-59-299-767-1,357-8,521-17,641-110,773-195,983-502,739-2,547,779-6,535,607-11,562,997-150,318,961

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