Q: What are the factor combinations of the number 37,442,251?

 A:
Positive:   1 x 374422517 x 534889311 x 340384177 x 486263103 x 363517721 x 519311133 x 330474721 x 7931
Negative: -1 x -37442251-7 x -5348893-11 x -3403841-77 x -486263-103 x -363517-721 x -51931-1133 x -33047-4721 x -7931


How do I find the factor combinations of the number 37,442,251?

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 37,442,251, 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 37,442,251
-1 -37,442,251

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 37,442,251.

Example:
1 x 37,442,251 = 37,442,251
and
-1 x -37,442,251 = 37,442,251
Notice both answers equal 37,442,251

With that explanation out of the way, let's continue. Next, we take the number 37,442,251 and divide it by 2:

37,442,251 ÷ 2 = 18,721,125.5

If the quotient is a whole number, then 2 and 18,721,125.5 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 37,442,251
-1 -37,442,251

Now, we try dividing 37,442,251 by 3:

37,442,251 ÷ 3 = 12,480,750.3333

If the quotient is a whole number, then 3 and 12,480,750.3333 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 37,442,251
-1 -37,442,251

Let's try dividing by 4:

37,442,251 ÷ 4 = 9,360,562.75

If the quotient is a whole number, then 4 and 9,360,562.75 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 37,442,251
-1 37,442,251
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771037211,1334,7217,93133,04751,931363,517486,2633,403,8415,348,89337,442,251
-1-7-11-77-103-721-1,133-4,721-7,931-33,047-51,931-363,517-486,263-3,403,841-5,348,893-37,442,251

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