Q: What are the factor combinations of the number 104,160?

 A:
Positive:   1 x 1041602 x 520803 x 347204 x 260405 x 208326 x 173607 x 148808 x 1302010 x 1041612 x 868014 x 744015 x 694416 x 651020 x 520821 x 496024 x 434028 x 372030 x 347231 x 336032 x 325535 x 297640 x 260442 x 248048 x 217056 x 186060 x 173662 x 168070 x 148880 x 130284 x 124093 x 112096 x 1085105 x 992112 x 930120 x 868124 x 840140 x 744155 x 672160 x 651168 x 620186 x 560210 x 496217 x 480224 x 465240 x 434248 x 420280 x 372310 x 336
Negative: -1 x -104160-2 x -52080-3 x -34720-4 x -26040-5 x -20832-6 x -17360-7 x -14880-8 x -13020-10 x -10416-12 x -8680-14 x -7440-15 x -6944-16 x -6510-20 x -5208-21 x -4960-24 x -4340-28 x -3720-30 x -3472-31 x -3360-32 x -3255-35 x -2976-40 x -2604-42 x -2480-48 x -2170-56 x -1860-60 x -1736-62 x -1680-70 x -1488-80 x -1302-84 x -1240-93 x -1120-96 x -1085-105 x -992-112 x -930-120 x -868-124 x -840-140 x -744-155 x -672-160 x -651-168 x -620-186 x -560-210 x -496-217 x -480-224 x -465-240 x -434-248 x -420-280 x -372-310 x -336


How do I find the factor combinations of the number 104,160?

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 104,160, 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.

1 104,160
-1 -104,160

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 104,160.

Example:
1 x 104,160 = 104,160
and
-1 x -104,160 = 104,160
Notice both answers equal 104,160

With that explanation out of the way, let's continue. Next, we take the number 104,160 and divide it by 2:

104,160 ÷ 2 = 52,080

If the quotient is a whole number, then 2 and 52,080 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 52,080 104,160
-1 -2 -52,080 -104,160

Now, we try dividing 104,160 by 3:

104,160 ÷ 3 = 34,720

If the quotient is a whole number, then 3 and 34,720 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 34,720 52,080 104,160
-1 -2 -3 -34,720 -52,080 -104,160

Let's try dividing by 4:

104,160 ÷ 4 = 26,040

If the quotient is a whole number, then 4 and 26,040 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 26,040 34,720 52,080 104,160
-1 -2 -3 -4 -26,040 -34,720 -52,080 104,160
Keep dividing by the next highest number until you cannot divide anymore.

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

123456781012141516202124283031323540424856606270808493961051121201241401551601681862102172242402482803103363724204344654804965606206516727448408689309921,0851,1201,2401,3021,4881,6801,7361,8602,1702,4802,6042,9763,2553,3603,4723,7204,3404,9605,2086,5106,9447,4408,68010,41613,02014,88017,36020,83226,04034,72052,080104,160
-1-2-3-4-5-6-7-8-10-12-14-15-16-20-21-24-28-30-31-32-35-40-42-48-56-60-62-70-80-84-93-96-105-112-120-124-140-155-160-168-186-210-217-224-240-248-280-310-336-372-420-434-465-480-496-560-620-651-672-744-840-868-930-992-1,085-1,120-1,240-1,302-1,488-1,680-1,736-1,860-2,170-2,480-2,604-2,976-3,255-3,360-3,472-3,720-4,340-4,960-5,208-6,510-6,944-7,440-8,680-10,416-13,020-14,880-17,360-20,832-26,040-34,720-52,080-104,160

More Examples

Here are some more numbers to try:

104,158104,159104,161104,162
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