Q: What are the factor combinations of the number 109,620?

 A:
Positive:   1 x 1096202 x 548103 x 365404 x 274055 x 219246 x 182707 x 156609 x 1218010 x 1096212 x 913514 x 783015 x 730818 x 609020 x 548121 x 522027 x 406028 x 391529 x 378030 x 365435 x 313236 x 304542 x 261045 x 243654 x 203058 x 189060 x 182763 x 174070 x 156684 x 130587 x 126090 x 1218105 x 1044108 x 1015116 x 945126 x 870135 x 812140 x 783145 x 756174 x 630180 x 609189 x 580203 x 540210 x 522252 x 435261 x 420270 x 406290 x 378315 x 348
Negative: -1 x -109620-2 x -54810-3 x -36540-4 x -27405-5 x -21924-6 x -18270-7 x -15660-9 x -12180-10 x -10962-12 x -9135-14 x -7830-15 x -7308-18 x -6090-20 x -5481-21 x -5220-27 x -4060-28 x -3915-29 x -3780-30 x -3654-35 x -3132-36 x -3045-42 x -2610-45 x -2436-54 x -2030-58 x -1890-60 x -1827-63 x -1740-70 x -1566-84 x -1305-87 x -1260-90 x -1218-105 x -1044-108 x -1015-116 x -945-126 x -870-135 x -812-140 x -783-145 x -756-174 x -630-180 x -609-189 x -580-203 x -540-210 x -522-252 x -435-261 x -420-270 x -406-290 x -378-315 x -348


How do I find the factor combinations of the number 109,620?

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 109,620, 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.

1 109,620
-1 -109,620

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 109,620.

Example:
1 x 109,620 = 109,620
and
-1 x -109,620 = 109,620
Notice both answers equal 109,620

With that explanation out of the way, let's continue. Next, we take the number 109,620 and divide it by 2:

109,620 ÷ 2 = 54,810

If the quotient is a whole number, then 2 and 54,810 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 54,810 109,620
-1 -2 -54,810 -109,620

Now, we try dividing 109,620 by 3:

109,620 ÷ 3 = 36,540

If the quotient is a whole number, then 3 and 36,540 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 36,540 54,810 109,620
-1 -2 -3 -36,540 -54,810 -109,620

Let's try dividing by 4:

109,620 ÷ 4 = 27,405

If the quotient is a whole number, then 4 and 27,405 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 27,405 36,540 54,810 109,620
-1 -2 -3 -4 -27,405 -36,540 -54,810 109,620
Keep dividing by the next highest number until you cannot divide anymore.

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

1234567910121415182021272829303536424554586063708487901051081161261351401451741801892032102522612702903153483784064204355225405806096307567838128709451,0151,0441,2181,2601,3051,5661,7401,8271,8902,0302,4362,6103,0453,1323,6543,7803,9154,0605,2205,4816,0907,3087,8309,13510,96212,18015,66018,27021,92427,40536,54054,810109,620
-1-2-3-4-5-6-7-9-10-12-14-15-18-20-21-27-28-29-30-35-36-42-45-54-58-60-63-70-84-87-90-105-108-116-126-135-140-145-174-180-189-203-210-252-261-270-290-315-348-378-406-420-435-522-540-580-609-630-756-783-812-870-945-1,015-1,044-1,218-1,260-1,305-1,566-1,740-1,827-1,890-2,030-2,436-2,610-3,045-3,132-3,654-3,780-3,915-4,060-5,220-5,481-6,090-7,308-7,830-9,135-10,962-12,180-15,660-18,270-21,924-27,405-36,540-54,810-109,620

More Examples

Here are some more numbers to try:

109,618109,619109,621109,622
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