Q: What are the factor combinations of the number 45,744,671?

 A:
Positive:   1 x 457446717 x 653495317 x 269086353 x 863107119 x 384409371 x 123301901 x 507716307 x 7253
Negative: -1 x -45744671-7 x -6534953-17 x -2690863-53 x -863107-119 x -384409-371 x -123301-901 x -50771-6307 x -7253


How do I find the factor combinations of the number 45,744,671?

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 45,744,671, 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 45,744,671
-1 -45,744,671

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 45,744,671.

Example:
1 x 45,744,671 = 45,744,671
and
-1 x -45,744,671 = 45,744,671
Notice both answers equal 45,744,671

With that explanation out of the way, let's continue. Next, we take the number 45,744,671 and divide it by 2:

45,744,671 ÷ 2 = 22,872,335.5

If the quotient is a whole number, then 2 and 22,872,335.5 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 45,744,671
-1 -45,744,671

Now, we try dividing 45,744,671 by 3:

45,744,671 ÷ 3 = 15,248,223.6667

If the quotient is a whole number, then 3 and 15,248,223.6667 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 45,744,671
-1 -45,744,671

Let's try dividing by 4:

45,744,671 ÷ 4 = 11,436,167.75

If the quotient is a whole number, then 4 and 11,436,167.75 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 45,744,671
-1 45,744,671
Keep dividing by the next highest number until you cannot divide anymore.

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

1717531193719016,3077,25350,771123,301384,409863,1072,690,8636,534,95345,744,671
-1-7-17-53-119-371-901-6,307-7,253-50,771-123,301-384,409-863,107-2,690,863-6,534,953-45,744,671

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