Q: What are the factor combinations of the number 702,306,059?

 A:
Positive:   1 x 7023060597 x 10032943713 x 5402354391 x 7717649157 x 44732871099 x 6390412041 x 34409914287 x 49157
Negative: -1 x -702306059-7 x -100329437-13 x -54023543-91 x -7717649-157 x -4473287-1099 x -639041-2041 x -344099-14287 x -49157


How do I find the factor combinations of the number 702,306,059?

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 702,306,059, 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.

1 702,306,059
-1 -702,306,059

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 702,306,059.

Example:
1 x 702,306,059 = 702,306,059
and
-1 x -702,306,059 = 702,306,059
Notice both answers equal 702,306,059

With that explanation out of the way, let's continue. Next, we take the number 702,306,059 and divide it by 2:

702,306,059 ÷ 2 = 351,153,029.5

If the quotient is a whole number, then 2 and 351,153,029.5 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:

1 702,306,059
-1 -702,306,059

Now, we try dividing 702,306,059 by 3:

702,306,059 ÷ 3 = 234,102,019.6667

If the quotient is a whole number, then 3 and 234,102,019.6667 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:

1 702,306,059
-1 -702,306,059

Let's try dividing by 4:

702,306,059 ÷ 4 = 175,576,514.75

If the quotient is a whole number, then 4 and 175,576,514.75 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:

1 702,306,059
-1 702,306,059
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911571,0992,04114,28749,157344,099639,0414,473,2877,717,64954,023,543100,329,437702,306,059
-1-7-13-91-157-1,099-2,041-14,287-49,157-344,099-639,041-4,473,287-7,717,649-54,023,543-100,329,437-702,306,059

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