Q: What are the factor combinations of the number 145,740,485?

 A:
Positive:   1 x 1457404855 x 2914809711 x 1324913555 x 264982773 x 1996445365 x 399289803 x 1814954015 x 36299
Negative: -1 x -145740485-5 x -29148097-11 x -13249135-55 x -2649827-73 x -1996445-365 x -399289-803 x -181495-4015 x -36299


How do I find the factor combinations of the number 145,740,485?

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 145,740,485, 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.

1 145,740,485
-1 -145,740,485

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 145,740,485.

Example:
1 x 145,740,485 = 145,740,485
and
-1 x -145,740,485 = 145,740,485
Notice both answers equal 145,740,485

With that explanation out of the way, let's continue. Next, we take the number 145,740,485 and divide it by 2:

145,740,485 ÷ 2 = 72,870,242.5

If the quotient is a whole number, then 2 and 72,870,242.5 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:

1 145,740,485
-1 -145,740,485

Now, we try dividing 145,740,485 by 3:

145,740,485 ÷ 3 = 48,580,161.6667

If the quotient is a whole number, then 3 and 48,580,161.6667 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:

1 145,740,485
-1 -145,740,485

Let's try dividing by 4:

145,740,485 ÷ 4 = 36,435,121.25

If the quotient is a whole number, then 4 and 36,435,121.25 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:

1 145,740,485
-1 145,740,485
Keep dividing by the next highest number until you cannot divide anymore.

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

151155733658034,01536,299181,495399,2891,996,4452,649,82713,249,13529,148,097145,740,485
-1-5-11-55-73-365-803-4,015-36,299-181,495-399,289-1,996,445-2,649,827-13,249,135-29,148,097-145,740,485

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