Q: What are the factor combinations of the number 145,654,855?

 A:
Positive:   1 x 1456548555 x 2913097119 x 766604595 x 1533209971 x 1500051579 x 922454855 x 300017895 x 18449
Negative: -1 x -145654855-5 x -29130971-19 x -7666045-95 x -1533209-971 x -150005-1579 x -92245-4855 x -30001-7895 x -18449


How do I find the factor combinations of the number 145,654,855?

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 145,654,855, 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.

1 145,654,855
-1 -145,654,855

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 145,654,855.

Example:
1 x 145,654,855 = 145,654,855
and
-1 x -145,654,855 = 145,654,855
Notice both answers equal 145,654,855

With that explanation out of the way, let's continue. Next, we take the number 145,654,855 and divide it by 2:

145,654,855 ÷ 2 = 72,827,427.5

If the quotient is a whole number, then 2 and 72,827,427.5 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:

1 145,654,855
-1 -145,654,855

Now, we try dividing 145,654,855 by 3:

145,654,855 ÷ 3 = 48,551,618.3333

If the quotient is a whole number, then 3 and 48,551,618.3333 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:

1 145,654,855
-1 -145,654,855

Let's try dividing by 4:

145,654,855 ÷ 4 = 36,413,713.75

If the quotient is a whole number, then 4 and 36,413,713.75 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:

1 145,654,855
-1 145,654,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1519959711,5794,8557,89518,44930,00192,245150,0051,533,2097,666,04529,130,971145,654,855
-1-5-19-95-971-1,579-4,855-7,895-18,449-30,001-92,245-150,005-1,533,209-7,666,045-29,130,971-145,654,855

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