Q: What are the factor combinations of the number 154,724,147?

 A:
Positive:   1 x 1547241472927 x 52861
Negative: -1 x -154724147-2927 x -52861


How do I find the factor combinations of the number 154,724,147?

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 154,724,147, 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.

1 154,724,147
-1 -154,724,147

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 154,724,147.

Example:
1 x 154,724,147 = 154,724,147
and
-1 x -154,724,147 = 154,724,147
Notice both answers equal 154,724,147

With that explanation out of the way, let's continue. Next, we take the number 154,724,147 and divide it by 2:

154,724,147 ÷ 2 = 77,362,073.5

If the quotient is a whole number, then 2 and 77,362,073.5 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:

1 154,724,147
-1 -154,724,147

Now, we try dividing 154,724,147 by 3:

154,724,147 ÷ 3 = 51,574,715.6667

If the quotient is a whole number, then 3 and 51,574,715.6667 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:

1 154,724,147
-1 -154,724,147

Let's try dividing by 4:

154,724,147 ÷ 4 = 38,681,036.75

If the quotient is a whole number, then 4 and 38,681,036.75 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:

1 154,724,147
-1 154,724,147
Keep dividing by the next highest number until you cannot divide anymore.

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

12,92752,861154,724,147
-1-2,927-52,861-154,724,147

More Examples

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