Q: What are the factor combinations of the number 150,754,333?

 A:
Positive:   1 x 15075433331 x 486304347 x 3207539107 x 1408919967 x 1558991457 x 1034693317 x 454495029 x 29977
Negative: -1 x -150754333-31 x -4863043-47 x -3207539-107 x -1408919-967 x -155899-1457 x -103469-3317 x -45449-5029 x -29977


How do I find the factor combinations of the number 150,754,333?

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 150,754,333, 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.

1 150,754,333
-1 -150,754,333

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 150,754,333.

Example:
1 x 150,754,333 = 150,754,333
and
-1 x -150,754,333 = 150,754,333
Notice both answers equal 150,754,333

With that explanation out of the way, let's continue. Next, we take the number 150,754,333 and divide it by 2:

150,754,333 ÷ 2 = 75,377,166.5

If the quotient is a whole number, then 2 and 75,377,166.5 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:

1 150,754,333
-1 -150,754,333

Now, we try dividing 150,754,333 by 3:

150,754,333 ÷ 3 = 50,251,444.3333

If the quotient is a whole number, then 3 and 50,251,444.3333 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:

1 150,754,333
-1 -150,754,333

Let's try dividing by 4:

150,754,333 ÷ 4 = 37,688,583.25

If the quotient is a whole number, then 4 and 37,688,583.25 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:

1 150,754,333
-1 150,754,333
Keep dividing by the next highest number until you cannot divide anymore.

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

131471079671,4573,3175,02929,97745,449103,469155,8991,408,9193,207,5394,863,043150,754,333
-1-31-47-107-967-1,457-3,317-5,029-29,977-45,449-103,469-155,899-1,408,919-3,207,539-4,863,043-150,754,333

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