Q: What are the factor combinations of the number 147,140,615?

 A:
Positive:   1 x 1471406155 x 294281231741 x 845158705 x 16903
Negative: -1 x -147140615-5 x -29428123-1741 x -84515-8705 x -16903


How do I find the factor combinations of the number 147,140,615?

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 147,140,615, 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.

1 147,140,615
-1 -147,140,615

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 147,140,615.

Example:
1 x 147,140,615 = 147,140,615
and
-1 x -147,140,615 = 147,140,615
Notice both answers equal 147,140,615

With that explanation out of the way, let's continue. Next, we take the number 147,140,615 and divide it by 2:

147,140,615 ÷ 2 = 73,570,307.5

If the quotient is a whole number, then 2 and 73,570,307.5 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:

1 147,140,615
-1 -147,140,615

Now, we try dividing 147,140,615 by 3:

147,140,615 ÷ 3 = 49,046,871.6667

If the quotient is a whole number, then 3 and 49,046,871.6667 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:

1 147,140,615
-1 -147,140,615

Let's try dividing by 4:

147,140,615 ÷ 4 = 36,785,153.75

If the quotient is a whole number, then 4 and 36,785,153.75 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:

1 147,140,615
-1 147,140,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151,7418,70516,90384,51529,428,123147,140,615
-1-5-1,741-8,705-16,903-84,515-29,428,123-147,140,615

More Examples

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