Q: What are the factor combinations of the number 149,447,921?

 A:
Positive:   1 x 1494479217 x 2134970337 x 403913347 x 3179743259 x 577019329 x 4542491739 x 8593912173 x 12277
Negative: -1 x -149447921-7 x -21349703-37 x -4039133-47 x -3179743-259 x -577019-329 x -454249-1739 x -85939-12173 x -12277


How do I find the factor combinations of the number 149,447,921?

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 149,447,921, 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.

1 149,447,921
-1 -149,447,921

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 149,447,921.

Example:
1 x 149,447,921 = 149,447,921
and
-1 x -149,447,921 = 149,447,921
Notice both answers equal 149,447,921

With that explanation out of the way, let's continue. Next, we take the number 149,447,921 and divide it by 2:

149,447,921 ÷ 2 = 74,723,960.5

If the quotient is a whole number, then 2 and 74,723,960.5 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:

1 149,447,921
-1 -149,447,921

Now, we try dividing 149,447,921 by 3:

149,447,921 ÷ 3 = 49,815,973.6667

If the quotient is a whole number, then 3 and 49,815,973.6667 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:

1 149,447,921
-1 -149,447,921

Let's try dividing by 4:

149,447,921 ÷ 4 = 37,361,980.25

If the quotient is a whole number, then 4 and 37,361,980.25 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:

1 149,447,921
-1 149,447,921
Keep dividing by the next highest number until you cannot divide anymore.

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

1737472593291,73912,17312,27785,939454,249577,0193,179,7434,039,13321,349,703149,447,921
-1-7-37-47-259-329-1,739-12,173-12,277-85,939-454,249-577,019-3,179,743-4,039,133-21,349,703-149,447,921

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