Q: What are the factor combinations of the number 37,243,465?

 A:
Positive:   1 x 372434655 x 74486937 x 532049535 x 1064099181 x 205765905 x 411531267 x 293955879 x 6335
Negative: -1 x -37243465-5 x -7448693-7 x -5320495-35 x -1064099-181 x -205765-905 x -41153-1267 x -29395-5879 x -6335


How do I find the factor combinations of the number 37,243,465?

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 37,243,465, 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 37,243,465
-1 -37,243,465

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 37,243,465.

Example:
1 x 37,243,465 = 37,243,465
and
-1 x -37,243,465 = 37,243,465
Notice both answers equal 37,243,465

With that explanation out of the way, let's continue. Next, we take the number 37,243,465 and divide it by 2:

37,243,465 ÷ 2 = 18,621,732.5

If the quotient is a whole number, then 2 and 18,621,732.5 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 37,243,465
-1 -37,243,465

Now, we try dividing 37,243,465 by 3:

37,243,465 ÷ 3 = 12,414,488.3333

If the quotient is a whole number, then 3 and 12,414,488.3333 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 37,243,465
-1 -37,243,465

Let's try dividing by 4:

37,243,465 ÷ 4 = 9,310,866.25

If the quotient is a whole number, then 4 and 9,310,866.25 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 37,243,465
-1 37,243,465
Keep dividing by the next highest number until you cannot divide anymore.

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

157351819051,2675,8796,33529,39541,153205,7651,064,0995,320,4957,448,69337,243,465
-1-5-7-35-181-905-1,267-5,879-6,335-29,395-41,153-205,765-1,064,099-5,320,495-7,448,693-37,243,465

More Examples

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