Q: What are the factor combinations of the number 652,721,615?

 A:
Positive:   1 x 6527216155 x 1305443237 x 9324594513 x 5020935535 x 1864918965 x 1004187191 x 7172765455 x 1434553
Negative: -1 x -652721615-5 x -130544323-7 x -93245945-13 x -50209355-35 x -18649189-65 x -10041871-91 x -7172765-455 x -1434553


How do I find the factor combinations of the number 652,721,615?

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 652,721,615, 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.

1 652,721,615
-1 -652,721,615

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 652,721,615.

Example:
1 x 652,721,615 = 652,721,615
and
-1 x -652,721,615 = 652,721,615
Notice both answers equal 652,721,615

With that explanation out of the way, let's continue. Next, we take the number 652,721,615 and divide it by 2:

652,721,615 ÷ 2 = 326,360,807.5

If the quotient is a whole number, then 2 and 326,360,807.5 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:

1 652,721,615
-1 -652,721,615

Now, we try dividing 652,721,615 by 3:

652,721,615 ÷ 3 = 217,573,871.6667

If the quotient is a whole number, then 3 and 217,573,871.6667 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:

1 652,721,615
-1 -652,721,615

Let's try dividing by 4:

652,721,615 ÷ 4 = 163,180,403.75

If the quotient is a whole number, then 4 and 163,180,403.75 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:

1 652,721,615
-1 652,721,615
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565914551,434,5537,172,76510,041,87118,649,18950,209,35593,245,945130,544,323652,721,615
-1-5-7-13-35-65-91-455-1,434,553-7,172,765-10,041,871-18,649,189-50,209,355-93,245,945-130,544,323-652,721,615

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 652,721,615:


Ask a Question