Q: What are the factor combinations of the number 145,234,999?

 A:
Positive:   1 x 1452349997 x 2074785713 x 1117192353 x 274028391 x 1595989371 x 391469689 x 2107914823 x 30113
Negative: -1 x -145234999-7 x -20747857-13 x -11171923-53 x -2740283-91 x -1595989-371 x -391469-689 x -210791-4823 x -30113


How do I find the factor combinations of the number 145,234,999?

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 145,234,999, 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.

1 145,234,999
-1 -145,234,999

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 145,234,999.

Example:
1 x 145,234,999 = 145,234,999
and
-1 x -145,234,999 = 145,234,999
Notice both answers equal 145,234,999

With that explanation out of the way, let's continue. Next, we take the number 145,234,999 and divide it by 2:

145,234,999 ÷ 2 = 72,617,499.5

If the quotient is a whole number, then 2 and 72,617,499.5 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:

1 145,234,999
-1 -145,234,999

Now, we try dividing 145,234,999 by 3:

145,234,999 ÷ 3 = 48,411,666.3333

If the quotient is a whole number, then 3 and 48,411,666.3333 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:

1 145,234,999
-1 -145,234,999

Let's try dividing by 4:

145,234,999 ÷ 4 = 36,308,749.75

If the quotient is a whole number, then 4 and 36,308,749.75 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:

1 145,234,999
-1 145,234,999
Keep dividing by the next highest number until you cannot divide anymore.

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

171353913716894,82330,113210,791391,4691,595,9892,740,28311,171,92320,747,857145,234,999
-1-7-13-53-91-371-689-4,823-30,113-210,791-391,469-1,595,989-2,740,283-11,171,923-20,747,857-145,234,999

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