Q: What are the factor combinations of the number 974,770?

 A:
Positive:   1 x 9747702 x 4873855 x 19495410 x 97477107 x 9110214 x 4555535 x 1822911 x 1070
Negative: -1 x -974770-2 x -487385-5 x -194954-10 x -97477-107 x -9110-214 x -4555-535 x -1822-911 x -1070


How do I find the factor combinations of the number 974,770?

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 974,770, 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.

1 974,770
-1 -974,770

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 974,770.

Example:
1 x 974,770 = 974,770
and
-1 x -974,770 = 974,770
Notice both answers equal 974,770

With that explanation out of the way, let's continue. Next, we take the number 974,770 and divide it by 2:

974,770 ÷ 2 = 487,385

If the quotient is a whole number, then 2 and 487,385 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 487,385 974,770
-1 -2 -487,385 -974,770

Now, we try dividing 974,770 by 3:

974,770 ÷ 3 = 324,923.3333

If the quotient is a whole number, then 3 and 324,923.3333 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 2 487,385 974,770
-1 -2 -487,385 -974,770

Let's try dividing by 4:

974,770 ÷ 4 = 243,692.5

If the quotient is a whole number, then 4 and 243,692.5 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 2 487,385 974,770
-1 -2 -487,385 974,770
Keep dividing by the next highest number until you cannot divide anymore.

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

125101072145359111,0701,8224,5559,11097,477194,954487,385974,770
-1-2-5-10-107-214-535-911-1,070-1,822-4,555-9,110-97,477-194,954-487,385-974,770

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 974,770:


Ask a Question