Q: What are the factor combinations of the number 150,850,865?

 A:
Positive:   1 x 1508508655 x 3017017311 x 1371371555 x 274274361 x 2472965305 x 494593671 x 2248153355 x 44963
Negative: -1 x -150850865-5 x -30170173-11 x -13713715-55 x -2742743-61 x -2472965-305 x -494593-671 x -224815-3355 x -44963


How do I find the factor combinations of the number 150,850,865?

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 150,850,865, 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.

1 150,850,865
-1 -150,850,865

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 150,850,865.

Example:
1 x 150,850,865 = 150,850,865
and
-1 x -150,850,865 = 150,850,865
Notice both answers equal 150,850,865

With that explanation out of the way, let's continue. Next, we take the number 150,850,865 and divide it by 2:

150,850,865 ÷ 2 = 75,425,432.5

If the quotient is a whole number, then 2 and 75,425,432.5 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:

1 150,850,865
-1 -150,850,865

Now, we try dividing 150,850,865 by 3:

150,850,865 ÷ 3 = 50,283,621.6667

If the quotient is a whole number, then 3 and 50,283,621.6667 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:

1 150,850,865
-1 -150,850,865

Let's try dividing by 4:

150,850,865 ÷ 4 = 37,712,716.25

If the quotient is a whole number, then 4 and 37,712,716.25 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:

1 150,850,865
-1 150,850,865
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,35544,963224,815494,5932,472,9652,742,74313,713,71530,170,173150,850,865
-1-5-11-55-61-305-671-3,355-44,963-224,815-494,593-2,472,965-2,742,743-13,713,715-30,170,173-150,850,865

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