Q: What are the factor combinations of the number 4,970,105?

 A:
Positive:   1 x 49701055 x 9940217 x 71001535 x 142003211 x 23555673 x 73851055 x 47111477 x 3365
Negative: -1 x -4970105-5 x -994021-7 x -710015-35 x -142003-211 x -23555-673 x -7385-1055 x -4711-1477 x -3365


How do I find the factor combinations of the number 4,970,105?

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 4,970,105, 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 4,970,105
-1 -4,970,105

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 4,970,105.

Example:
1 x 4,970,105 = 4,970,105
and
-1 x -4,970,105 = 4,970,105
Notice both answers equal 4,970,105

With that explanation out of the way, let's continue. Next, we take the number 4,970,105 and divide it by 2:

4,970,105 ÷ 2 = 2,485,052.5

If the quotient is a whole number, then 2 and 2,485,052.5 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 4,970,105
-1 -4,970,105

Now, we try dividing 4,970,105 by 3:

4,970,105 ÷ 3 = 1,656,701.6667

If the quotient is a whole number, then 3 and 1,656,701.6667 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 4,970,105
-1 -4,970,105

Let's try dividing by 4:

4,970,105 ÷ 4 = 1,242,526.25

If the quotient is a whole number, then 4 and 1,242,526.25 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 4,970,105
-1 4,970,105
Keep dividing by the next highest number until you cannot divide anymore.

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

157352116731,0551,4773,3654,7117,38523,555142,003710,015994,0214,970,105
-1-5-7-35-211-673-1,055-1,477-3,365-4,711-7,385-23,555-142,003-710,015-994,021-4,970,105

More Examples

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