Q: What are the factor combinations of the number 146,255,923?

 A:
Positive:   1 x 14625592311 x 1329599331 x 4717933341 x 428903439 x 333157977 x 1496994829 x 3028710747 x 13609
Negative: -1 x -146255923-11 x -13295993-31 x -4717933-341 x -428903-439 x -333157-977 x -149699-4829 x -30287-10747 x -13609


How do I find the factor combinations of the number 146,255,923?

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 146,255,923, 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.

1 146,255,923
-1 -146,255,923

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 146,255,923.

Example:
1 x 146,255,923 = 146,255,923
and
-1 x -146,255,923 = 146,255,923
Notice both answers equal 146,255,923

With that explanation out of the way, let's continue. Next, we take the number 146,255,923 and divide it by 2:

146,255,923 ÷ 2 = 73,127,961.5

If the quotient is a whole number, then 2 and 73,127,961.5 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:

1 146,255,923
-1 -146,255,923

Now, we try dividing 146,255,923 by 3:

146,255,923 ÷ 3 = 48,751,974.3333

If the quotient is a whole number, then 3 and 48,751,974.3333 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:

1 146,255,923
-1 -146,255,923

Let's try dividing by 4:

146,255,923 ÷ 4 = 36,563,980.75

If the quotient is a whole number, then 4 and 36,563,980.75 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:

1 146,255,923
-1 146,255,923
Keep dividing by the next highest number until you cannot divide anymore.

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

111313414399774,82910,74713,60930,287149,699333,157428,9034,717,93313,295,993146,255,923
-1-11-31-341-439-977-4,829-10,747-13,609-30,287-149,699-333,157-428,903-4,717,933-13,295,993-146,255,923

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