Q: What are the factor combinations of the number 34,743,036?

 A:
Positive:   1 x 347430362 x 173715183 x 115810124 x 86857596 x 579050612 x 289525317 x 204370834 x 102185451 x 68123668 x 51092773 x 475932102 x 340618146 x 237966204 x 170309219 x 158644292 x 118983438 x 79322876 x 396611241 x 279962333 x 148922482 x 139983723 x 93324666 x 74464964 x 6999
Negative: -1 x -34743036-2 x -17371518-3 x -11581012-4 x -8685759-6 x -5790506-12 x -2895253-17 x -2043708-34 x -1021854-51 x -681236-68 x -510927-73 x -475932-102 x -340618-146 x -237966-204 x -170309-219 x -158644-292 x -118983-438 x -79322-876 x -39661-1241 x -27996-2333 x -14892-2482 x -13998-3723 x -9332-4666 x -7446-4964 x -6999


How do I find the factor combinations of the number 34,743,036?

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 34,743,036, 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 34,743,036
-1 -34,743,036

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 34,743,036.

Example:
1 x 34,743,036 = 34,743,036
and
-1 x -34,743,036 = 34,743,036
Notice both answers equal 34,743,036

With that explanation out of the way, let's continue. Next, we take the number 34,743,036 and divide it by 2:

34,743,036 ÷ 2 = 17,371,518

If the quotient is a whole number, then 2 and 17,371,518 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 17,371,518 34,743,036
-1 -2 -17,371,518 -34,743,036

Now, we try dividing 34,743,036 by 3:

34,743,036 ÷ 3 = 11,581,012

If the quotient is a whole number, then 3 and 11,581,012 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 11,581,012 17,371,518 34,743,036
-1 -2 -3 -11,581,012 -17,371,518 -34,743,036

Let's try dividing by 4:

34,743,036 ÷ 4 = 8,685,759

If the quotient is a whole number, then 4 and 8,685,759 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 8,685,759 11,581,012 17,371,518 34,743,036
-1 -2 -3 -4 -8,685,759 -11,581,012 -17,371,518 34,743,036
Keep dividing by the next highest number until you cannot divide anymore.

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

123461217345168731021462042192924388761,2412,3332,4823,7234,6664,9646,9997,4469,33213,99814,89227,99639,66179,322118,983158,644170,309237,966340,618475,932510,927681,2361,021,8542,043,7082,895,2535,790,5068,685,75911,581,01217,371,51834,743,036
-1-2-3-4-6-12-17-34-51-68-73-102-146-204-219-292-438-876-1,241-2,333-2,482-3,723-4,666-4,964-6,999-7,446-9,332-13,998-14,892-27,996-39,661-79,322-118,983-158,644-170,309-237,966-340,618-475,932-510,927-681,236-1,021,854-2,043,708-2,895,253-5,790,506-8,685,759-11,581,012-17,371,518-34,743,036

More Examples

Here are some more numbers to try:

34,743,03434,743,03534,743,03734,743,038
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