Q: What are the factor combinations of the number 45,030,349?

 A:
Positive:   1 x 450303497 x 643290713 x 346387391 x 494839419 x 1074711181 x 381292933 x 153535447 x 8267
Negative: -1 x -45030349-7 x -6432907-13 x -3463873-91 x -494839-419 x -107471-1181 x -38129-2933 x -15353-5447 x -8267


How do I find the factor combinations of the number 45,030,349?

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 45,030,349, 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 45,030,349
-1 -45,030,349

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 45,030,349.

Example:
1 x 45,030,349 = 45,030,349
and
-1 x -45,030,349 = 45,030,349
Notice both answers equal 45,030,349

With that explanation out of the way, let's continue. Next, we take the number 45,030,349 and divide it by 2:

45,030,349 ÷ 2 = 22,515,174.5

If the quotient is a whole number, then 2 and 22,515,174.5 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 45,030,349
-1 -45,030,349

Now, we try dividing 45,030,349 by 3:

45,030,349 ÷ 3 = 15,010,116.3333

If the quotient is a whole number, then 3 and 15,010,116.3333 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 45,030,349
-1 -45,030,349

Let's try dividing by 4:

45,030,349 ÷ 4 = 11,257,587.25

If the quotient is a whole number, then 4 and 11,257,587.25 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 45,030,349
-1 45,030,349
Keep dividing by the next highest number until you cannot divide anymore.

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

1713914191,1812,9335,4478,26715,35338,129107,471494,8393,463,8736,432,90745,030,349
-1-7-13-91-419-1,181-2,933-5,447-8,267-15,353-38,129-107,471-494,839-3,463,873-6,432,907-45,030,349

More Examples

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