Q: What are the factor combinations of the number 133,502,520?

 A:
Positive:   1 x 1335025202 x 667512603 x 445008404 x 333756305 x 267005046 x 222504208 x 1668781510 x 1335025212 x 1112521015 x 890016820 x 667512624 x 556260530 x 445008440 x 333756360 x 2225042120 x 1112521293 x 455640586 x 227820879 x 1518801172 x 1139101465 x 911281758 x 759402344 x 569552930 x 455643516 x 379703797 x 351604395 x 303765860 x 227827032 x 189857594 x 175808790 x 1518811391 x 11720
Negative: -1 x -133502520-2 x -66751260-3 x -44500840-4 x -33375630-5 x -26700504-6 x -22250420-8 x -16687815-10 x -13350252-12 x -11125210-15 x -8900168-20 x -6675126-24 x -5562605-30 x -4450084-40 x -3337563-60 x -2225042-120 x -1112521-293 x -455640-586 x -227820-879 x -151880-1172 x -113910-1465 x -91128-1758 x -75940-2344 x -56955-2930 x -45564-3516 x -37970-3797 x -35160-4395 x -30376-5860 x -22782-7032 x -18985-7594 x -17580-8790 x -15188-11391 x -11720


How do I find the factor combinations of the number 133,502,520?

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 133,502,520, 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.

1 133,502,520
-1 -133,502,520

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 133,502,520.

Example:
1 x 133,502,520 = 133,502,520
and
-1 x -133,502,520 = 133,502,520
Notice both answers equal 133,502,520

With that explanation out of the way, let's continue. Next, we take the number 133,502,520 and divide it by 2:

133,502,520 ÷ 2 = 66,751,260

If the quotient is a whole number, then 2 and 66,751,260 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 66,751,260 133,502,520
-1 -2 -66,751,260 -133,502,520

Now, we try dividing 133,502,520 by 3:

133,502,520 ÷ 3 = 44,500,840

If the quotient is a whole number, then 3 and 44,500,840 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 44,500,840 66,751,260 133,502,520
-1 -2 -3 -44,500,840 -66,751,260 -133,502,520

Let's try dividing by 4:

133,502,520 ÷ 4 = 33,375,630

If the quotient is a whole number, then 4 and 33,375,630 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 33,375,630 44,500,840 66,751,260 133,502,520
-1 -2 -3 -4 -33,375,630 -44,500,840 -66,751,260 133,502,520
Keep dividing by the next highest number until you cannot divide anymore.

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

123456810121520243040601202935868791,1721,4651,7582,3442,9303,5163,7974,3955,8607,0327,5948,79011,39111,72015,18817,58018,98522,78230,37635,16037,97045,56456,95575,94091,128113,910151,880227,820455,6401,112,5212,225,0423,337,5634,450,0845,562,6056,675,1268,900,16811,125,21013,350,25216,687,81522,250,42026,700,50433,375,63044,500,84066,751,260133,502,520
-1-2-3-4-5-6-8-10-12-15-20-24-30-40-60-120-293-586-879-1,172-1,465-1,758-2,344-2,930-3,516-3,797-4,395-5,860-7,032-7,594-8,790-11,391-11,720-15,188-17,580-18,985-22,782-30,376-35,160-37,970-45,564-56,955-75,940-91,128-113,910-151,880-227,820-455,640-1,112,521-2,225,042-3,337,563-4,450,084-5,562,605-6,675,126-8,900,168-11,125,210-13,350,252-16,687,815-22,250,420-26,700,504-33,375,630-44,500,840-66,751,260-133,502,520

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