Q: What are the factor combinations of the number 240,314,130?

 A:
Positive:   1 x 2403141302 x 1201570653 x 801047105 x 480628266 x 400523557 x 343305909 x 2670157010 x 2403141314 x 1716529515 x 1602094218 x 1335078521 x 1144353030 x 801047135 x 686611842 x 572176545 x 534031449 x 490437063 x 381451070 x 343305990 x 267015798 x 2452185105 x 2288706126 x 1907255147 x 1634790210 x 1144353245 x 980874294 x 817395315 x 762902441 x 544930490 x 490437630 x 381451735 x 326958882 x 2724651470 x 1634792205 x 1089864410 x 54493
Negative: -1 x -240314130-2 x -120157065-3 x -80104710-5 x -48062826-6 x -40052355-7 x -34330590-9 x -26701570-10 x -24031413-14 x -17165295-15 x -16020942-18 x -13350785-21 x -11443530-30 x -8010471-35 x -6866118-42 x -5721765-45 x -5340314-49 x -4904370-63 x -3814510-70 x -3433059-90 x -2670157-98 x -2452185-105 x -2288706-126 x -1907255-147 x -1634790-210 x -1144353-245 x -980874-294 x -817395-315 x -762902-441 x -544930-490 x -490437-630 x -381451-735 x -326958-882 x -272465-1470 x -163479-2205 x -108986-4410 x -54493


How do I find the factor combinations of the number 240,314,130?

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 240,314,130, 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.

1 240,314,130
-1 -240,314,130

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 240,314,130.

Example:
1 x 240,314,130 = 240,314,130
and
-1 x -240,314,130 = 240,314,130
Notice both answers equal 240,314,130

With that explanation out of the way, let's continue. Next, we take the number 240,314,130 and divide it by 2:

240,314,130 ÷ 2 = 120,157,065

If the quotient is a whole number, then 2 and 120,157,065 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 2 120,157,065 240,314,130
-1 -2 -120,157,065 -240,314,130

Now, we try dividing 240,314,130 by 3:

240,314,130 ÷ 3 = 80,104,710

If the quotient is a whole number, then 3 and 80,104,710 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 80,104,710 120,157,065 240,314,130
-1 -2 -3 -80,104,710 -120,157,065 -240,314,130

Let's try dividing by 4:

240,314,130 ÷ 4 = 60,078,532.5

If the quotient is a whole number, then 4 and 60,078,532.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 2 3 80,104,710 120,157,065 240,314,130
-1 -2 -3 -80,104,710 -120,157,065 240,314,130
Keep dividing by the next highest number until you cannot divide anymore.

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

123567910141518213035424549637090981051261472102452943154414906307358821,4702,2054,41054,493108,986163,479272,465326,958381,451490,437544,930762,902817,395980,8741,144,3531,634,7901,907,2552,288,7062,452,1852,670,1573,433,0593,814,5104,904,3705,340,3145,721,7656,866,1188,010,47111,443,53013,350,78516,020,94217,165,29524,031,41326,701,57034,330,59040,052,35548,062,82680,104,710120,157,065240,314,130
-1-2-3-5-6-7-9-10-14-15-18-21-30-35-42-45-49-63-70-90-98-105-126-147-210-245-294-315-441-490-630-735-882-1,470-2,205-4,410-54,493-108,986-163,479-272,465-326,958-381,451-490,437-544,930-762,902-817,395-980,874-1,144,353-1,634,790-1,907,255-2,288,706-2,452,185-2,670,157-3,433,059-3,814,510-4,904,370-5,340,314-5,721,765-6,866,118-8,010,471-11,443,530-13,350,785-16,020,942-17,165,295-24,031,413-26,701,570-34,330,590-40,052,355-48,062,826-80,104,710-120,157,065-240,314,130

More Examples

Here are some more numbers to try:

240,314,128240,314,129240,314,131240,314,132
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