Q: What are the factor combinations of the number 151,500,685?

 A:
Positive:   1 x 1515006855 x 303001377 x 2164295517 x 891180535 x 432859185 x 1782361119 x 1273115595 x 254623
Negative: -1 x -151500685-5 x -30300137-7 x -21642955-17 x -8911805-35 x -4328591-85 x -1782361-119 x -1273115-595 x -254623


How do I find the factor combinations of the number 151,500,685?

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 151,500,685, 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.

1 151,500,685
-1 -151,500,685

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 151,500,685.

Example:
1 x 151,500,685 = 151,500,685
and
-1 x -151,500,685 = 151,500,685
Notice both answers equal 151,500,685

With that explanation out of the way, let's continue. Next, we take the number 151,500,685 and divide it by 2:

151,500,685 ÷ 2 = 75,750,342.5

If the quotient is a whole number, then 2 and 75,750,342.5 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:

1 151,500,685
-1 -151,500,685

Now, we try dividing 151,500,685 by 3:

151,500,685 ÷ 3 = 50,500,228.3333

If the quotient is a whole number, then 3 and 50,500,228.3333 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:

1 151,500,685
-1 -151,500,685

Let's try dividing by 4:

151,500,685 ÷ 4 = 37,875,171.25

If the quotient is a whole number, then 4 and 37,875,171.25 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:

1 151,500,685
-1 151,500,685
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595254,6231,273,1151,782,3614,328,5918,911,80521,642,95530,300,137151,500,685
-1-5-7-17-35-85-119-595-254,623-1,273,115-1,782,361-4,328,591-8,911,805-21,642,955-30,300,137-151,500,685

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