Q: What are the factor combinations of the number 3,649,932?

 A:
Positive:   1 x 36499322 x 18249663 x 12166444 x 9124836 x 6083229 x 40554811 x 33181212 x 30416113 x 28076418 x 20277422 x 16590626 x 14038233 x 11060436 x 10138739 x 9358844 x 8295352 x 7019166 x 5530278 x 4679499 x 36868117 x 31196132 x 27651143 x 25524156 x 23397198 x 18434234 x 15598286 x 12762396 x 9217429 x 8508468 x 7799572 x 6381709 x 5148858 x 42541287 x 28361418 x 25741716 x 2127
Negative: -1 x -3649932-2 x -1824966-3 x -1216644-4 x -912483-6 x -608322-9 x -405548-11 x -331812-12 x -304161-13 x -280764-18 x -202774-22 x -165906-26 x -140382-33 x -110604-36 x -101387-39 x -93588-44 x -82953-52 x -70191-66 x -55302-78 x -46794-99 x -36868-117 x -31196-132 x -27651-143 x -25524-156 x -23397-198 x -18434-234 x -15598-286 x -12762-396 x -9217-429 x -8508-468 x -7799-572 x -6381-709 x -5148-858 x -4254-1287 x -2836-1418 x -2574-1716 x -2127


How do I find the factor combinations of the number 3,649,932?

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 3,649,932, 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 3,649,932
-1 -3,649,932

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 3,649,932.

Example:
1 x 3,649,932 = 3,649,932
and
-1 x -3,649,932 = 3,649,932
Notice both answers equal 3,649,932

With that explanation out of the way, let's continue. Next, we take the number 3,649,932 and divide it by 2:

3,649,932 ÷ 2 = 1,824,966

If the quotient is a whole number, then 2 and 1,824,966 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 1,824,966 3,649,932
-1 -2 -1,824,966 -3,649,932

Now, we try dividing 3,649,932 by 3:

3,649,932 ÷ 3 = 1,216,644

If the quotient is a whole number, then 3 and 1,216,644 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 1,216,644 1,824,966 3,649,932
-1 -2 -3 -1,216,644 -1,824,966 -3,649,932

Let's try dividing by 4:

3,649,932 ÷ 4 = 912,483

If the quotient is a whole number, then 4 and 912,483 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 912,483 1,216,644 1,824,966 3,649,932
-1 -2 -3 -4 -912,483 -1,216,644 -1,824,966 3,649,932
Keep dividing by the next highest number until you cannot divide anymore.

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

12346911121318222633363944526678991171321431561982342863964294685727098581,2871,4181,7162,1272,5742,8364,2545,1486,3817,7998,5089,21712,76215,59818,43423,39725,52427,65131,19636,86846,79455,30270,19182,95393,588101,387110,604140,382165,906202,774280,764304,161331,812405,548608,322912,4831,216,6441,824,9663,649,932
-1-2-3-4-6-9-11-12-13-18-22-26-33-36-39-44-52-66-78-99-117-132-143-156-198-234-286-396-429-468-572-709-858-1,287-1,418-1,716-2,127-2,574-2,836-4,254-5,148-6,381-7,799-8,508-9,217-12,762-15,598-18,434-23,397-25,524-27,651-31,196-36,868-46,794-55,302-70,191-82,953-93,588-101,387-110,604-140,382-165,906-202,774-280,764-304,161-331,812-405,548-608,322-912,483-1,216,644-1,824,966-3,649,932

More Examples

Here are some more numbers to try:

3,649,9303,649,9313,649,9333,649,934
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