Q: What are the factor combinations of the number 487,137,677?

 A:
Positive:   1 x 48713767713 x 3747212923 x 21179899109 x 4469153299 x 16292231417 x 3437812507 x 19431114947 x 32591
Negative: -1 x -487137677-13 x -37472129-23 x -21179899-109 x -4469153-299 x -1629223-1417 x -343781-2507 x -194311-14947 x -32591


How do I find the factor combinations of the number 487,137,677?

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 487,137,677, 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.

1 487,137,677
-1 -487,137,677

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 487,137,677.

Example:
1 x 487,137,677 = 487,137,677
and
-1 x -487,137,677 = 487,137,677
Notice both answers equal 487,137,677

With that explanation out of the way, let's continue. Next, we take the number 487,137,677 and divide it by 2:

487,137,677 ÷ 2 = 243,568,838.5

If the quotient is a whole number, then 2 and 243,568,838.5 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:

1 487,137,677
-1 -487,137,677

Now, we try dividing 487,137,677 by 3:

487,137,677 ÷ 3 = 162,379,225.6667

If the quotient is a whole number, then 3 and 162,379,225.6667 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:

1 487,137,677
-1 -487,137,677

Let's try dividing by 4:

487,137,677 ÷ 4 = 121,784,419.25

If the quotient is a whole number, then 4 and 121,784,419.25 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:

1 487,137,677
-1 487,137,677
Keep dividing by the next highest number until you cannot divide anymore.

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

113231092991,4172,50714,94732,591194,311343,7811,629,2234,469,15321,179,89937,472,129487,137,677
-1-13-23-109-299-1,417-2,507-14,947-32,591-194,311-343,781-1,629,223-4,469,153-21,179,899-37,472,129-487,137,677

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 487,137,677:


Ask a Question