Q: What are the factor combinations of the number 149,903,383?

 A:
Positive:   1 x 1499033837 x 2141476931 x 483559373 x 2053471217 x 690799511 x 2933532263 x 662419463 x 15841
Negative: -1 x -149903383-7 x -21414769-31 x -4835593-73 x -2053471-217 x -690799-511 x -293353-2263 x -66241-9463 x -15841


How do I find the factor combinations of the number 149,903,383?

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 149,903,383, 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.

1 149,903,383
-1 -149,903,383

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 149,903,383.

Example:
1 x 149,903,383 = 149,903,383
and
-1 x -149,903,383 = 149,903,383
Notice both answers equal 149,903,383

With that explanation out of the way, let's continue. Next, we take the number 149,903,383 and divide it by 2:

149,903,383 ÷ 2 = 74,951,691.5

If the quotient is a whole number, then 2 and 74,951,691.5 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:

1 149,903,383
-1 -149,903,383

Now, we try dividing 149,903,383 by 3:

149,903,383 ÷ 3 = 49,967,794.3333

If the quotient is a whole number, then 3 and 49,967,794.3333 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:

1 149,903,383
-1 -149,903,383

Let's try dividing by 4:

149,903,383 ÷ 4 = 37,475,845.75

If the quotient is a whole number, then 4 and 37,475,845.75 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:

1 149,903,383
-1 149,903,383
Keep dividing by the next highest number until you cannot divide anymore.

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

1731732175112,2639,46315,84166,241293,353690,7992,053,4714,835,59321,414,769149,903,383
-1-7-31-73-217-511-2,263-9,463-15,841-66,241-293,353-690,799-2,053,471-4,835,593-21,414,769-149,903,383

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