Q: What are the factor combinations of the number 155,544,607?

 A:
Positive:   1 x 15554460723 x 67628091361 x 1142874969 x 31303
Negative: -1 x -155544607-23 x -6762809-1361 x -114287-4969 x -31303


How do I find the factor combinations of the number 155,544,607?

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 155,544,607, 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.

1 155,544,607
-1 -155,544,607

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 155,544,607.

Example:
1 x 155,544,607 = 155,544,607
and
-1 x -155,544,607 = 155,544,607
Notice both answers equal 155,544,607

With that explanation out of the way, let's continue. Next, we take the number 155,544,607 and divide it by 2:

155,544,607 ÷ 2 = 77,772,303.5

If the quotient is a whole number, then 2 and 77,772,303.5 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:

1 155,544,607
-1 -155,544,607

Now, we try dividing 155,544,607 by 3:

155,544,607 ÷ 3 = 51,848,202.3333

If the quotient is a whole number, then 3 and 51,848,202.3333 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:

1 155,544,607
-1 -155,544,607

Let's try dividing by 4:

155,544,607 ÷ 4 = 38,886,151.75

If the quotient is a whole number, then 4 and 38,886,151.75 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:

1 155,544,607
-1 155,544,607
Keep dividing by the next highest number until you cannot divide anymore.

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

1231,3614,96931,303114,2876,762,809155,544,607
-1-23-1,361-4,969-31,303-114,287-6,762,809-155,544,607

More Examples

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