Q: What are the factor combinations of the number 537,162,685?

 A:
Positive:   1 x 5371626855 x 10743253717 x 3159780553 x 1013514585 x 6319561265 x 2027029901 x 5961854505 x 119237
Negative: -1 x -537162685-5 x -107432537-17 x -31597805-53 x -10135145-85 x -6319561-265 x -2027029-901 x -596185-4505 x -119237


How do I find the factor combinations of the number 537,162,685?

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 537,162,685, 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.

1 537,162,685
-1 -537,162,685

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 537,162,685.

Example:
1 x 537,162,685 = 537,162,685
and
-1 x -537,162,685 = 537,162,685
Notice both answers equal 537,162,685

With that explanation out of the way, let's continue. Next, we take the number 537,162,685 and divide it by 2:

537,162,685 ÷ 2 = 268,581,342.5

If the quotient is a whole number, then 2 and 268,581,342.5 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:

1 537,162,685
-1 -537,162,685

Now, we try dividing 537,162,685 by 3:

537,162,685 ÷ 3 = 179,054,228.3333

If the quotient is a whole number, then 3 and 179,054,228.3333 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:

1 537,162,685
-1 -537,162,685

Let's try dividing by 4:

537,162,685 ÷ 4 = 134,290,671.25

If the quotient is a whole number, then 4 and 134,290,671.25 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:

1 537,162,685
-1 537,162,685
Keep dividing by the next highest number until you cannot divide anymore.

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

151753852659014,505119,237596,1852,027,0296,319,56110,135,14531,597,805107,432,537537,162,685
-1-5-17-53-85-265-901-4,505-119,237-596,185-2,027,029-6,319,561-10,135,145-31,597,805-107,432,537-537,162,685

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 537,162,685:


Ask a Question