Q: What are the factor combinations of the number 147,400,217?

 A:
Positive:   1 x 14740021717 x 867060161 x 2416397307 x 480131463 x 3183591037 x 1421415219 x 282437871 x 18727
Negative: -1 x -147400217-17 x -8670601-61 x -2416397-307 x -480131-463 x -318359-1037 x -142141-5219 x -28243-7871 x -18727


How do I find the factor combinations of the number 147,400,217?

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 147,400,217, 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.

1 147,400,217
-1 -147,400,217

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 147,400,217.

Example:
1 x 147,400,217 = 147,400,217
and
-1 x -147,400,217 = 147,400,217
Notice both answers equal 147,400,217

With that explanation out of the way, let's continue. Next, we take the number 147,400,217 and divide it by 2:

147,400,217 ÷ 2 = 73,700,108.5

If the quotient is a whole number, then 2 and 73,700,108.5 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:

1 147,400,217
-1 -147,400,217

Now, we try dividing 147,400,217 by 3:

147,400,217 ÷ 3 = 49,133,405.6667

If the quotient is a whole number, then 3 and 49,133,405.6667 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:

1 147,400,217
-1 -147,400,217

Let's try dividing by 4:

147,400,217 ÷ 4 = 36,850,054.25

If the quotient is a whole number, then 4 and 36,850,054.25 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:

1 147,400,217
-1 147,400,217
Keep dividing by the next highest number until you cannot divide anymore.

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

117613074631,0375,2197,87118,72728,243142,141318,359480,1312,416,3978,670,601147,400,217
-1-17-61-307-463-1,037-5,219-7,871-18,727-28,243-142,141-318,359-480,131-2,416,397-8,670,601-147,400,217

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