Q: What are the factor combinations of the number 155,243,615?

 A:
Positive:   1 x 1552436155 x 3104872383 x 1870405415 x 3740814507 x 344456889 x 22535
Negative: -1 x -155243615-5 x -31048723-83 x -1870405-415 x -374081-4507 x -34445-6889 x -22535


How do I find the factor combinations of the number 155,243,615?

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 155,243,615, 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.

1 155,243,615
-1 -155,243,615

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 155,243,615.

Example:
1 x 155,243,615 = 155,243,615
and
-1 x -155,243,615 = 155,243,615
Notice both answers equal 155,243,615

With that explanation out of the way, let's continue. Next, we take the number 155,243,615 and divide it by 2:

155,243,615 ÷ 2 = 77,621,807.5

If the quotient is a whole number, then 2 and 77,621,807.5 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:

1 155,243,615
-1 -155,243,615

Now, we try dividing 155,243,615 by 3:

155,243,615 ÷ 3 = 51,747,871.6667

If the quotient is a whole number, then 3 and 51,747,871.6667 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:

1 155,243,615
-1 -155,243,615

Let's try dividing by 4:

155,243,615 ÷ 4 = 38,810,903.75

If the quotient is a whole number, then 4 and 38,810,903.75 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:

1 155,243,615
-1 155,243,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15834154,5076,88922,53534,445374,0811,870,40531,048,723155,243,615
-1-5-83-415-4,507-6,889-22,535-34,445-374,081-1,870,405-31,048,723-155,243,615

More Examples

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