Q: What are the factor combinations of the number 146,478,179?

 A:
Positive:   1 x 14647817947 x 311655759 x 2482681101 x 1450279523 x 2800732773 x 528234747 x 308575959 x 24581
Negative: -1 x -146478179-47 x -3116557-59 x -2482681-101 x -1450279-523 x -280073-2773 x -52823-4747 x -30857-5959 x -24581


How do I find the factor combinations of the number 146,478,179?

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 146,478,179, 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.

1 146,478,179
-1 -146,478,179

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 146,478,179.

Example:
1 x 146,478,179 = 146,478,179
and
-1 x -146,478,179 = 146,478,179
Notice both answers equal 146,478,179

With that explanation out of the way, let's continue. Next, we take the number 146,478,179 and divide it by 2:

146,478,179 ÷ 2 = 73,239,089.5

If the quotient is a whole number, then 2 and 73,239,089.5 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:

1 146,478,179
-1 -146,478,179

Now, we try dividing 146,478,179 by 3:

146,478,179 ÷ 3 = 48,826,059.6667

If the quotient is a whole number, then 3 and 48,826,059.6667 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:

1 146,478,179
-1 -146,478,179

Let's try dividing by 4:

146,478,179 ÷ 4 = 36,619,544.75

If the quotient is a whole number, then 4 and 36,619,544.75 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:

1 146,478,179
-1 146,478,179
Keep dividing by the next highest number until you cannot divide anymore.

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

147591015232,7734,7475,95924,58130,85752,823280,0731,450,2792,482,6813,116,557146,478,179
-1-47-59-101-523-2,773-4,747-5,959-24,581-30,857-52,823-280,073-1,450,279-2,482,681-3,116,557-146,478,179

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