Q: What are the factor combinations of the number 37,778,015?

 A:
Positive:   1 x 377780155 x 755560311 x 343436541 x 92141555 x 686873121 x 312215205 x 184283451 x 83765605 x 624431523 x 248052255 x 167534961 x 7615
Negative: -1 x -37778015-5 x -7555603-11 x -3434365-41 x -921415-55 x -686873-121 x -312215-205 x -184283-451 x -83765-605 x -62443-1523 x -24805-2255 x -16753-4961 x -7615


How do I find the factor combinations of the number 37,778,015?

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 37,778,015, 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 37,778,015
-1 -37,778,015

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 37,778,015.

Example:
1 x 37,778,015 = 37,778,015
and
-1 x -37,778,015 = 37,778,015
Notice both answers equal 37,778,015

With that explanation out of the way, let's continue. Next, we take the number 37,778,015 and divide it by 2:

37,778,015 ÷ 2 = 18,889,007.5

If the quotient is a whole number, then 2 and 18,889,007.5 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 37,778,015
-1 -37,778,015

Now, we try dividing 37,778,015 by 3:

37,778,015 ÷ 3 = 12,592,671.6667

If the quotient is a whole number, then 3 and 12,592,671.6667 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 37,778,015
-1 -37,778,015

Let's try dividing by 4:

37,778,015 ÷ 4 = 9,444,503.75

If the quotient is a whole number, then 4 and 9,444,503.75 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 37,778,015
-1 37,778,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151141551212054516051,5232,2554,9617,61516,75324,80562,44383,765184,283312,215686,873921,4153,434,3657,555,60337,778,015
-1-5-11-41-55-121-205-451-605-1,523-2,255-4,961-7,615-16,753-24,805-62,443-83,765-184,283-312,215-686,873-921,415-3,434,365-7,555,603-37,778,015

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