Q: What are the factor combinations of the number 150,611,705?

 A:
Positive:   1 x 1506117055 x 3012234123 x 6548335101 x 1491205115 x 1309667505 x 2982412323 x 6483511615 x 12967
Negative: -1 x -150611705-5 x -30122341-23 x -6548335-101 x -1491205-115 x -1309667-505 x -298241-2323 x -64835-11615 x -12967


How do I find the factor combinations of the number 150,611,705?

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 150,611,705, 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.

1 150,611,705
-1 -150,611,705

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 150,611,705.

Example:
1 x 150,611,705 = 150,611,705
and
-1 x -150,611,705 = 150,611,705
Notice both answers equal 150,611,705

With that explanation out of the way, let's continue. Next, we take the number 150,611,705 and divide it by 2:

150,611,705 ÷ 2 = 75,305,852.5

If the quotient is a whole number, then 2 and 75,305,852.5 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:

1 150,611,705
-1 -150,611,705

Now, we try dividing 150,611,705 by 3:

150,611,705 ÷ 3 = 50,203,901.6667

If the quotient is a whole number, then 3 and 50,203,901.6667 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:

1 150,611,705
-1 -150,611,705

Let's try dividing by 4:

150,611,705 ÷ 4 = 37,652,926.25

If the quotient is a whole number, then 4 and 37,652,926.25 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:

1 150,611,705
-1 150,611,705
Keep dividing by the next highest number until you cannot divide anymore.

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

15231011155052,32311,61512,96764,835298,2411,309,6671,491,2056,548,33530,122,341150,611,705
-1-5-23-101-115-505-2,323-11,615-12,967-64,835-298,241-1,309,667-1,491,205-6,548,335-30,122,341-150,611,705

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