Q: What are the factor combinations of the number 38,345,184?

 A:
Positive:   1 x 383451842 x 191725923 x 127817284 x 95862966 x 63908648 x 47931489 x 426057612 x 319543216 x 239657418 x 213028824 x 159771627 x 142019232 x 119828736 x 106514448 x 79885854 x 71009672 x 53257296 x 399429108 x 355048144 x 266286216 x 177524288 x 133143432 x 88762864 x 44381
Negative: -1 x -38345184-2 x -19172592-3 x -12781728-4 x -9586296-6 x -6390864-8 x -4793148-9 x -4260576-12 x -3195432-16 x -2396574-18 x -2130288-24 x -1597716-27 x -1420192-32 x -1198287-36 x -1065144-48 x -798858-54 x -710096-72 x -532572-96 x -399429-108 x -355048-144 x -266286-216 x -177524-288 x -133143-432 x -88762-864 x -44381


How do I find the factor combinations of the number 38,345,184?

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 38,345,184, 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 38,345,184
-1 -38,345,184

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 38,345,184.

Example:
1 x 38,345,184 = 38,345,184
and
-1 x -38,345,184 = 38,345,184
Notice both answers equal 38,345,184

With that explanation out of the way, let's continue. Next, we take the number 38,345,184 and divide it by 2:

38,345,184 ÷ 2 = 19,172,592

If the quotient is a whole number, then 2 and 19,172,592 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 19,172,592 38,345,184
-1 -2 -19,172,592 -38,345,184

Now, we try dividing 38,345,184 by 3:

38,345,184 ÷ 3 = 12,781,728

If the quotient is a whole number, then 3 and 12,781,728 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 12,781,728 19,172,592 38,345,184
-1 -2 -3 -12,781,728 -19,172,592 -38,345,184

Let's try dividing by 4:

38,345,184 ÷ 4 = 9,586,296

If the quotient is a whole number, then 4 and 9,586,296 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 9,586,296 12,781,728 19,172,592 38,345,184
-1 -2 -3 -4 -9,586,296 -12,781,728 -19,172,592 38,345,184
Keep dividing by the next highest number until you cannot divide anymore.

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

1234689121618242732364854729610814421628843286444,38188,762133,143177,524266,286355,048399,429532,572710,096798,8581,065,1441,198,2871,420,1921,597,7162,130,2882,396,5743,195,4324,260,5764,793,1486,390,8649,586,29612,781,72819,172,59238,345,184
-1-2-3-4-6-8-9-12-16-18-24-27-32-36-48-54-72-96-108-144-216-288-432-864-44,381-88,762-133,143-177,524-266,286-355,048-399,429-532,572-710,096-798,858-1,065,144-1,198,287-1,420,192-1,597,716-2,130,288-2,396,574-3,195,432-4,260,576-4,793,148-6,390,864-9,586,296-12,781,728-19,172,592-38,345,184

More Examples

Here are some more numbers to try:

38,345,18238,345,18338,345,18538,345,186
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