Q: What are the factor combinations of the number 37,200,372?

 A:
Positive:   1 x 372003722 x 186001863 x 124001244 x 93000936 x 620006211 x 338185212 x 310003122 x 169092631 x 120001233 x 112728444 x 84546362 x 60000666 x 56364293 x 400004124 x 300003132 x 281821186 x 200002341 x 109092372 x 100001682 x 545461023 x 363641364 x 272732046 x 181824092 x 9091
Negative: -1 x -37200372-2 x -18600186-3 x -12400124-4 x -9300093-6 x -6200062-11 x -3381852-12 x -3100031-22 x -1690926-31 x -1200012-33 x -1127284-44 x -845463-62 x -600006-66 x -563642-93 x -400004-124 x -300003-132 x -281821-186 x -200002-341 x -109092-372 x -100001-682 x -54546-1023 x -36364-1364 x -27273-2046 x -18182-4092 x -9091


How do I find the factor combinations of the number 37,200,372?

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 37,200,372, 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 37,200,372
-1 -37,200,372

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 37,200,372.

Example:
1 x 37,200,372 = 37,200,372
and
-1 x -37,200,372 = 37,200,372
Notice both answers equal 37,200,372

With that explanation out of the way, let's continue. Next, we take the number 37,200,372 and divide it by 2:

37,200,372 ÷ 2 = 18,600,186

If the quotient is a whole number, then 2 and 18,600,186 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 18,600,186 37,200,372
-1 -2 -18,600,186 -37,200,372

Now, we try dividing 37,200,372 by 3:

37,200,372 ÷ 3 = 12,400,124

If the quotient is a whole number, then 3 and 12,400,124 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 12,400,124 18,600,186 37,200,372
-1 -2 -3 -12,400,124 -18,600,186 -37,200,372

Let's try dividing by 4:

37,200,372 ÷ 4 = 9,300,093

If the quotient is a whole number, then 4 and 9,300,093 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 9,300,093 12,400,124 18,600,186 37,200,372
-1 -2 -3 -4 -9,300,093 -12,400,124 -18,600,186 37,200,372
Keep dividing by the next highest number until you cannot divide anymore.

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

123461112223133446266931241321863413726821,0231,3642,0464,0929,09118,18227,27336,36454,546100,001109,092200,002281,821300,003400,004563,642600,006845,4631,127,2841,200,0121,690,9263,100,0313,381,8526,200,0629,300,09312,400,12418,600,18637,200,372
-1-2-3-4-6-11-12-22-31-33-44-62-66-93-124-132-186-341-372-682-1,023-1,364-2,046-4,092-9,091-18,182-27,273-36,364-54,546-100,001-109,092-200,002-281,821-300,003-400,004-563,642-600,006-845,463-1,127,284-1,200,012-1,690,926-3,100,031-3,381,852-6,200,062-9,300,093-12,400,124-18,600,186-37,200,372

More Examples

Here are some more numbers to try:

37,200,37037,200,37137,200,37337,200,374
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