Q: What are the factor combinations of the number 40,100,340?

 A:
Positive:   1 x 401003402 x 200501703 x 133667804 x 100250855 x 80200686 x 66833907 x 572862010 x 401003412 x 334169514 x 286431015 x 267335620 x 200501721 x 190954028 x 143215530 x 133667835 x 114572442 x 95477060 x 66833970 x 57286284 x 477385105 x 381908140 x 286431210 x 190954307 x 130620311 x 128940420 x 95477614 x 65310622 x 64470921 x 43540933 x 429801228 x 326551244 x 322351535 x 261241555 x 257881842 x 217701866 x 214902149 x 186602177 x 184203070 x 130623110 x 128943684 x 108853732 x 107454298 x 93304354 x 92104605 x 87084665 x 85966140 x 65316220 x 6447
Negative: -1 x -40100340-2 x -20050170-3 x -13366780-4 x -10025085-5 x -8020068-6 x -6683390-7 x -5728620-10 x -4010034-12 x -3341695-14 x -2864310-15 x -2673356-20 x -2005017-21 x -1909540-28 x -1432155-30 x -1336678-35 x -1145724-42 x -954770-60 x -668339-70 x -572862-84 x -477385-105 x -381908-140 x -286431-210 x -190954-307 x -130620-311 x -128940-420 x -95477-614 x -65310-622 x -64470-921 x -43540-933 x -42980-1228 x -32655-1244 x -32235-1535 x -26124-1555 x -25788-1842 x -21770-1866 x -21490-2149 x -18660-2177 x -18420-3070 x -13062-3110 x -12894-3684 x -10885-3732 x -10745-4298 x -9330-4354 x -9210-4605 x -8708-4665 x -8596-6140 x -6531-6220 x -6447


How do I find the factor combinations of the number 40,100,340?

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 40,100,340, 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 40,100,340
-1 -40,100,340

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 40,100,340.

Example:
1 x 40,100,340 = 40,100,340
and
-1 x -40,100,340 = 40,100,340
Notice both answers equal 40,100,340

With that explanation out of the way, let's continue. Next, we take the number 40,100,340 and divide it by 2:

40,100,340 ÷ 2 = 20,050,170

If the quotient is a whole number, then 2 and 20,050,170 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 20,050,170 40,100,340
-1 -2 -20,050,170 -40,100,340

Now, we try dividing 40,100,340 by 3:

40,100,340 ÷ 3 = 13,366,780

If the quotient is a whole number, then 3 and 13,366,780 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 13,366,780 20,050,170 40,100,340
-1 -2 -3 -13,366,780 -20,050,170 -40,100,340

Let's try dividing by 4:

40,100,340 ÷ 4 = 10,025,085

If the quotient is a whole number, then 4 and 10,025,085 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 10,025,085 13,366,780 20,050,170 40,100,340
-1 -2 -3 -4 -10,025,085 -13,366,780 -20,050,170 40,100,340
Keep dividing by the next highest number until you cannot divide anymore.

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

1234567101214152021283035426070841051402103073114206146229219331,2281,2441,5351,5551,8421,8662,1492,1773,0703,1103,6843,7324,2984,3544,6054,6656,1406,2206,4476,5318,5968,7089,2109,33010,74510,88512,89413,06218,42018,66021,49021,77025,78826,12432,23532,65542,98043,54064,47065,31095,477128,940130,620190,954286,431381,908477,385572,862668,339954,7701,145,7241,336,6781,432,1551,909,5402,005,0172,673,3562,864,3103,341,6954,010,0345,728,6206,683,3908,020,06810,025,08513,366,78020,050,17040,100,340
-1-2-3-4-5-6-7-10-12-14-15-20-21-28-30-35-42-60-70-84-105-140-210-307-311-420-614-622-921-933-1,228-1,244-1,535-1,555-1,842-1,866-2,149-2,177-3,070-3,110-3,684-3,732-4,298-4,354-4,605-4,665-6,140-6,220-6,447-6,531-8,596-8,708-9,210-9,330-10,745-10,885-12,894-13,062-18,420-18,660-21,490-21,770-25,788-26,124-32,235-32,655-42,980-43,540-64,470-65,310-95,477-128,940-130,620-190,954-286,431-381,908-477,385-572,862-668,339-954,770-1,145,724-1,336,678-1,432,155-1,909,540-2,005,017-2,673,356-2,864,310-3,341,695-4,010,034-5,728,620-6,683,390-8,020,068-10,025,085-13,366,780-20,050,170-40,100,340

More Examples

Here are some more numbers to try:

40,100,33840,100,33940,100,34140,100,342
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