Q: What are the factor combinations of the number 74,707,812?

 A:
Positive:   1 x 747078122 x 373539063 x 249026044 x 186769536 x 124513029 x 830086812 x 622565118 x 415043427 x 276695636 x 207521754 x 1383478108 x 691739
Negative: -1 x -74707812-2 x -37353906-3 x -24902604-4 x -18676953-6 x -12451302-9 x -8300868-12 x -6225651-18 x -4150434-27 x -2766956-36 x -2075217-54 x -1383478-108 x -691739


How do I find the factor combinations of the number 74,707,812?

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 74,707,812, 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 74,707,812
-1 -74,707,812

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 74,707,812.

Example:
1 x 74,707,812 = 74,707,812
and
-1 x -74,707,812 = 74,707,812
Notice both answers equal 74,707,812

With that explanation out of the way, let's continue. Next, we take the number 74,707,812 and divide it by 2:

74,707,812 ÷ 2 = 37,353,906

If the quotient is a whole number, then 2 and 37,353,906 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 37,353,906 74,707,812
-1 -2 -37,353,906 -74,707,812

Now, we try dividing 74,707,812 by 3:

74,707,812 ÷ 3 = 24,902,604

If the quotient is a whole number, then 3 and 24,902,604 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 3 24,902,604 37,353,906 74,707,812
-1 -2 -3 -24,902,604 -37,353,906 -74,707,812

Let's try dividing by 4:

74,707,812 ÷ 4 = 18,676,953

If the quotient is a whole number, then 4 and 18,676,953 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 3 4 18,676,953 24,902,604 37,353,906 74,707,812
-1 -2 -3 -4 -18,676,953 -24,902,604 -37,353,906 74,707,812
Keep dividing by the next highest number until you cannot divide anymore.

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

1234691218273654108691,7391,383,4782,075,2172,766,9564,150,4346,225,6518,300,86812,451,30218,676,95324,902,60437,353,90674,707,812
-1-2-3-4-6-9-12-18-27-36-54-108-691,739-1,383,478-2,075,217-2,766,956-4,150,434-6,225,651-8,300,868-12,451,302-18,676,953-24,902,604-37,353,906-74,707,812

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 74,707,812:


Ask a Question