Q: What are the factor combinations of the number 673,645,009?

 A:
Positive:   1 x 67364500917 x 3962617743 x 15666163461 x 1461269731 x 9215391999 x 3369917837 x 8595719823 x 33983
Negative: -1 x -673645009-17 x -39626177-43 x -15666163-461 x -1461269-731 x -921539-1999 x -336991-7837 x -85957-19823 x -33983


How do I find the factor combinations of the number 673,645,009?

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 673,645,009, 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.

1 673,645,009
-1 -673,645,009

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 673,645,009.

Example:
1 x 673,645,009 = 673,645,009
and
-1 x -673,645,009 = 673,645,009
Notice both answers equal 673,645,009

With that explanation out of the way, let's continue. Next, we take the number 673,645,009 and divide it by 2:

673,645,009 ÷ 2 = 336,822,504.5

If the quotient is a whole number, then 2 and 336,822,504.5 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:

1 673,645,009
-1 -673,645,009

Now, we try dividing 673,645,009 by 3:

673,645,009 ÷ 3 = 224,548,336.3333

If the quotient is a whole number, then 3 and 224,548,336.3333 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:

1 673,645,009
-1 -673,645,009

Let's try dividing by 4:

673,645,009 ÷ 4 = 168,411,252.25

If the quotient is a whole number, then 4 and 168,411,252.25 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:

1 673,645,009
-1 673,645,009
Keep dividing by the next highest number until you cannot divide anymore.

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

117434617311,9997,83719,82333,98385,957336,991921,5391,461,26915,666,16339,626,177673,645,009
-1-17-43-461-731-1,999-7,837-19,823-33,983-85,957-336,991-921,539-1,461,269-15,666,163-39,626,177-673,645,009

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 673,645,009:


Ask a Question