Q: What are the factor combinations of the number 601,272,659?

 A:
Positive:   1 x 60127265913 x 4625174371 x 8468629577 x 1042067923 x 6514331129 x 5325717501 x 8015914677 x 40967
Negative: -1 x -601272659-13 x -46251743-71 x -8468629-577 x -1042067-923 x -651433-1129 x -532571-7501 x -80159-14677 x -40967


How do I find the factor combinations of the number 601,272,659?

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 601,272,659, 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.

1 601,272,659
-1 -601,272,659

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 601,272,659.

Example:
1 x 601,272,659 = 601,272,659
and
-1 x -601,272,659 = 601,272,659
Notice both answers equal 601,272,659

With that explanation out of the way, let's continue. Next, we take the number 601,272,659 and divide it by 2:

601,272,659 ÷ 2 = 300,636,329.5

If the quotient is a whole number, then 2 and 300,636,329.5 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:

1 601,272,659
-1 -601,272,659

Now, we try dividing 601,272,659 by 3:

601,272,659 ÷ 3 = 200,424,219.6667

If the quotient is a whole number, then 3 and 200,424,219.6667 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:

1 601,272,659
-1 -601,272,659

Let's try dividing by 4:

601,272,659 ÷ 4 = 150,318,164.75

If the quotient is a whole number, then 4 and 150,318,164.75 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:

1 601,272,659
-1 601,272,659
Keep dividing by the next highest number until you cannot divide anymore.

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

113715779231,1297,50114,67740,96780,159532,571651,4331,042,0678,468,62946,251,743601,272,659
-1-13-71-577-923-1,129-7,501-14,677-40,967-80,159-532,571-651,433-1,042,067-8,468,629-46,251,743-601,272,659

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