Q: What are the factor combinations of the number 35,280?

 A:
Positive:   1 x 352802 x 176403 x 117604 x 88205 x 70566 x 58807 x 50408 x 44109 x 392010 x 352812 x 294014 x 252015 x 235216 x 220518 x 196020 x 176421 x 168024 x 147028 x 126030 x 117635 x 100836 x 98040 x 88242 x 84045 x 78448 x 73549 x 72056 x 63060 x 58863 x 56070 x 50472 x 49080 x 44184 x 42090 x 39298 x 360105 x 336112 x 315120 x 294126 x 280140 x 252144 x 245147 x 240168 x 210180 x 196
Negative: -1 x -35280-2 x -17640-3 x -11760-4 x -8820-5 x -7056-6 x -5880-7 x -5040-8 x -4410-9 x -3920-10 x -3528-12 x -2940-14 x -2520-15 x -2352-16 x -2205-18 x -1960-20 x -1764-21 x -1680-24 x -1470-28 x -1260-30 x -1176-35 x -1008-36 x -980-40 x -882-42 x -840-45 x -784-48 x -735-49 x -720-56 x -630-60 x -588-63 x -560-70 x -504-72 x -490-80 x -441-84 x -420-90 x -392-98 x -360-105 x -336-112 x -315-120 x -294-126 x -280-140 x -252-144 x -245-147 x -240-168 x -210-180 x -196


How do I find the factor combinations of the number 35,280?

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 35,280, 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 35,280
-1 -35,280

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 35,280.

Example:
1 x 35,280 = 35,280
and
-1 x -35,280 = 35,280
Notice both answers equal 35,280

With that explanation out of the way, let's continue. Next, we take the number 35,280 and divide it by 2:

35,280 ÷ 2 = 17,640

If the quotient is a whole number, then 2 and 17,640 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 17,640 35,280
-1 -2 -17,640 -35,280

Now, we try dividing 35,280 by 3:

35,280 ÷ 3 = 11,760

If the quotient is a whole number, then 3 and 11,760 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 11,760 17,640 35,280
-1 -2 -3 -11,760 -17,640 -35,280

Let's try dividing by 4:

35,280 ÷ 4 = 8,820

If the quotient is a whole number, then 4 and 8,820 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 8,820 11,760 17,640 35,280
-1 -2 -3 -4 -8,820 -11,760 -17,640 35,280
Keep dividing by the next highest number until you cannot divide anymore.

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

1234567891012141516182021242830353640424548495660637072808490981051121201261401441471681801962102402452522802943153363603924204414905045605886307207357848408829801,0081,1761,2601,4701,6801,7641,9602,2052,3522,5202,9403,5283,9204,4105,0405,8807,0568,82011,76017,64035,280
-1-2-3-4-5-6-7-8-9-10-12-14-15-16-18-20-21-24-28-30-35-36-40-42-45-48-49-56-60-63-70-72-80-84-90-98-105-112-120-126-140-144-147-168-180-196-210-240-245-252-280-294-315-336-360-392-420-441-490-504-560-588-630-720-735-784-840-882-980-1,008-1,176-1,260-1,470-1,680-1,764-1,960-2,205-2,352-2,520-2,940-3,528-3,920-4,410-5,040-5,880-7,056-8,820-11,760-17,640-35,280

More Examples

Here are some more numbers to try:

35,27835,27935,28135,282
Try the factor calculator

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