Q: What are the factor combinations of the number 601,630,159?

 A:
Positive:   1 x 60163015913 x 4627924323 x 26157833239 x 2517281299 x 20121413107 x 1936375497 x 1094478419 x 71461
Negative: -1 x -601630159-13 x -46279243-23 x -26157833-239 x -2517281-299 x -2012141-3107 x -193637-5497 x -109447-8419 x -71461


How do I find the factor combinations of the number 601,630,159?

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 601,630,159, 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.

1 601,630,159
-1 -601,630,159

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 601,630,159.

Example:
1 x 601,630,159 = 601,630,159
and
-1 x -601,630,159 = 601,630,159
Notice both answers equal 601,630,159

With that explanation out of the way, let's continue. Next, we take the number 601,630,159 and divide it by 2:

601,630,159 ÷ 2 = 300,815,079.5

If the quotient is a whole number, then 2 and 300,815,079.5 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:

1 601,630,159
-1 -601,630,159

Now, we try dividing 601,630,159 by 3:

601,630,159 ÷ 3 = 200,543,386.3333

If the quotient is a whole number, then 3 and 200,543,386.3333 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:

1 601,630,159
-1 -601,630,159

Let's try dividing by 4:

601,630,159 ÷ 4 = 150,407,539.75

If the quotient is a whole number, then 4 and 150,407,539.75 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:

1 601,630,159
-1 601,630,159
Keep dividing by the next highest number until you cannot divide anymore.

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

113232392993,1075,4978,41971,461109,447193,6372,012,1412,517,28126,157,83346,279,243601,630,159
-1-13-23-239-299-3,107-5,497-8,419-71,461-109,447-193,637-2,012,141-2,517,281-26,157,833-46,279,243-601,630,159

More Examples

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