Q: What are the factor combinations of the number 3,737,671?

 A:
Positive:   1 x 37376717 x 53395317 x 21986349 x 76279119 x 31409343 x 10897641 x 5831833 x 4487
Negative: -1 x -3737671-7 x -533953-17 x -219863-49 x -76279-119 x -31409-343 x -10897-641 x -5831-833 x -4487


How do I find the factor combinations of the number 3,737,671?

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 3,737,671, 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 3,737,671
-1 -3,737,671

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 3,737,671.

Example:
1 x 3,737,671 = 3,737,671
and
-1 x -3,737,671 = 3,737,671
Notice both answers equal 3,737,671

With that explanation out of the way, let's continue. Next, we take the number 3,737,671 and divide it by 2:

3,737,671 ÷ 2 = 1,868,835.5

If the quotient is a whole number, then 2 and 1,868,835.5 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 3,737,671
-1 -3,737,671

Now, we try dividing 3,737,671 by 3:

3,737,671 ÷ 3 = 1,245,890.3333

If the quotient is a whole number, then 3 and 1,245,890.3333 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 3,737,671
-1 -3,737,671

Let's try dividing by 4:

3,737,671 ÷ 4 = 934,417.75

If the quotient is a whole number, then 4 and 934,417.75 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 3,737,671
-1 3,737,671
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491193436418334,4875,83110,89731,40976,279219,863533,9533,737,671
-1-7-17-49-119-343-641-833-4,487-5,831-10,897-31,409-76,279-219,863-533,953-3,737,671

More Examples

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