Q: What are the factor combinations of the number 37,493,143?

 A:
Positive:   1 x 3749314317 x 220547929 x 129286759 x 635477493 x 760511003 x 373811289 x 290871711 x 21913
Negative: -1 x -37493143-17 x -2205479-29 x -1292867-59 x -635477-493 x -76051-1003 x -37381-1289 x -29087-1711 x -21913


How do I find the factor combinations of the number 37,493,143?

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 37,493,143, 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 37,493,143
-1 -37,493,143

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 37,493,143.

Example:
1 x 37,493,143 = 37,493,143
and
-1 x -37,493,143 = 37,493,143
Notice both answers equal 37,493,143

With that explanation out of the way, let's continue. Next, we take the number 37,493,143 and divide it by 2:

37,493,143 ÷ 2 = 18,746,571.5

If the quotient is a whole number, then 2 and 18,746,571.5 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 37,493,143
-1 -37,493,143

Now, we try dividing 37,493,143 by 3:

37,493,143 ÷ 3 = 12,497,714.3333

If the quotient is a whole number, then 3 and 12,497,714.3333 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 37,493,143
-1 -37,493,143

Let's try dividing by 4:

37,493,143 ÷ 4 = 9,373,285.75

If the quotient is a whole number, then 4 and 9,373,285.75 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 37,493,143
-1 37,493,143
Keep dividing by the next highest number until you cannot divide anymore.

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

11729594931,0031,2891,71121,91329,08737,38176,051635,4771,292,8672,205,47937,493,143
-1-17-29-59-493-1,003-1,289-1,711-21,913-29,087-37,381-76,051-635,477-1,292,867-2,205,479-37,493,143

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