Q: What are the factor combinations of the number 145,500,215?

 A:
Positive:   1 x 1455002155 x 291000437 x 2078574535 x 415714967 x 2171645335 x 434329469 x 3102352345 x 62047
Negative: -1 x -145500215-5 x -29100043-7 x -20785745-35 x -4157149-67 x -2171645-335 x -434329-469 x -310235-2345 x -62047


How do I find the factor combinations of the number 145,500,215?

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 145,500,215, 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.

1 145,500,215
-1 -145,500,215

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 145,500,215.

Example:
1 x 145,500,215 = 145,500,215
and
-1 x -145,500,215 = 145,500,215
Notice both answers equal 145,500,215

With that explanation out of the way, let's continue. Next, we take the number 145,500,215 and divide it by 2:

145,500,215 ÷ 2 = 72,750,107.5

If the quotient is a whole number, then 2 and 72,750,107.5 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:

1 145,500,215
-1 -145,500,215

Now, we try dividing 145,500,215 by 3:

145,500,215 ÷ 3 = 48,500,071.6667

If the quotient is a whole number, then 3 and 48,500,071.6667 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:

1 145,500,215
-1 -145,500,215

Let's try dividing by 4:

145,500,215 ÷ 4 = 36,375,053.75

If the quotient is a whole number, then 4 and 36,375,053.75 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:

1 145,500,215
-1 145,500,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15735673354692,34562,047310,235434,3292,171,6454,157,14920,785,74529,100,043145,500,215
-1-5-7-35-67-335-469-2,345-62,047-310,235-434,329-2,171,645-4,157,149-20,785,745-29,100,043-145,500,215

More Examples

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