Q: What are the factor combinations of the number 62,022,667?

 A:
Positive:   1 x 620226677 x 886038153 x 1170239371 x 167177
Negative: -1 x -62022667-7 x -8860381-53 x -1170239-371 x -167177


How do I find the factor combinations of the number 62,022,667?

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 62,022,667, 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 62,022,667
-1 -62,022,667

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 62,022,667.

Example:
1 x 62,022,667 = 62,022,667
and
-1 x -62,022,667 = 62,022,667
Notice both answers equal 62,022,667

With that explanation out of the way, let's continue. Next, we take the number 62,022,667 and divide it by 2:

62,022,667 ÷ 2 = 31,011,333.5

If the quotient is a whole number, then 2 and 31,011,333.5 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 62,022,667
-1 -62,022,667

Now, we try dividing 62,022,667 by 3:

62,022,667 ÷ 3 = 20,674,222.3333

If the quotient is a whole number, then 3 and 20,674,222.3333 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 62,022,667
-1 -62,022,667

Let's try dividing by 4:

62,022,667 ÷ 4 = 15,505,666.75

If the quotient is a whole number, then 4 and 15,505,666.75 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 62,022,667
-1 62,022,667
Keep dividing by the next highest number until you cannot divide anymore.

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

1753371167,1771,170,2398,860,38162,022,667
-1-7-53-371-167,177-1,170,239-8,860,381-62,022,667

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 62,022,667:


Ask a Question