Q: What are the factor combinations of the number 45,024,265?

 A:
Positive:   1 x 450242655 x 900485311 x 409311513 x 346340555 x 81862365 x 692681143 x 314855715 x 62971
Negative: -1 x -45024265-5 x -9004853-11 x -4093115-13 x -3463405-55 x -818623-65 x -692681-143 x -314855-715 x -62971


How do I find the factor combinations of the number 45,024,265?

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 45,024,265, 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 45,024,265
-1 -45,024,265

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 45,024,265.

Example:
1 x 45,024,265 = 45,024,265
and
-1 x -45,024,265 = 45,024,265
Notice both answers equal 45,024,265

With that explanation out of the way, let's continue. Next, we take the number 45,024,265 and divide it by 2:

45,024,265 ÷ 2 = 22,512,132.5

If the quotient is a whole number, then 2 and 22,512,132.5 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 45,024,265
-1 -45,024,265

Now, we try dividing 45,024,265 by 3:

45,024,265 ÷ 3 = 15,008,088.3333

If the quotient is a whole number, then 3 and 15,008,088.3333 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 45,024,265
-1 -45,024,265

Let's try dividing by 4:

45,024,265 ÷ 4 = 11,256,066.25

If the quotient is a whole number, then 4 and 11,256,066.25 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 45,024,265
-1 45,024,265
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371562,971314,855692,681818,6233,463,4054,093,1159,004,85345,024,265
-1-5-11-13-55-65-143-715-62,971-314,855-692,681-818,623-3,463,405-4,093,115-9,004,853-45,024,265

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