Q: What are the factor combinations of the number 314,434,428?

 A:
Positive:   1 x 3144344282 x 1572172143 x 1048114764 x 786086076 x 524057387 x 4491920411 x 2858494812 x 2620286914 x 2245960221 x 1497306822 x 1429247428 x 1122980133 x 952831642 x 748653444 x 714623766 x 476415877 x 408356484 x 3743267132 x 2382079154 x 2041782231 x 1361188308 x 1020891462 x 680594924 x 340297
Negative: -1 x -314434428-2 x -157217214-3 x -104811476-4 x -78608607-6 x -52405738-7 x -44919204-11 x -28584948-12 x -26202869-14 x -22459602-21 x -14973068-22 x -14292474-28 x -11229801-33 x -9528316-42 x -7486534-44 x -7146237-66 x -4764158-77 x -4083564-84 x -3743267-132 x -2382079-154 x -2041782-231 x -1361188-308 x -1020891-462 x -680594-924 x -340297


How do I find the factor combinations of the number 314,434,428?

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 314,434,428, 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.

1 314,434,428
-1 -314,434,428

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 314,434,428.

Example:
1 x 314,434,428 = 314,434,428
and
-1 x -314,434,428 = 314,434,428
Notice both answers equal 314,434,428

With that explanation out of the way, let's continue. Next, we take the number 314,434,428 and divide it by 2:

314,434,428 ÷ 2 = 157,217,214

If the quotient is a whole number, then 2 and 157,217,214 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 2 157,217,214 314,434,428
-1 -2 -157,217,214 -314,434,428

Now, we try dividing 314,434,428 by 3:

314,434,428 ÷ 3 = 104,811,476

If the quotient is a whole number, then 3 and 104,811,476 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 3 104,811,476 157,217,214 314,434,428
-1 -2 -3 -104,811,476 -157,217,214 -314,434,428

Let's try dividing by 4:

314,434,428 ÷ 4 = 78,608,607

If the quotient is a whole number, then 4 and 78,608,607 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 78,608,607 104,811,476 157,217,214 314,434,428
-1 -2 -3 -4 -78,608,607 -104,811,476 -157,217,214 314,434,428
Keep dividing by the next highest number until you cannot divide anymore.

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

123467111214212228334244667784132154231308462924340,297680,5941,020,8911,361,1882,041,7822,382,0793,743,2674,083,5644,764,1587,146,2377,486,5349,528,31611,229,80114,292,47414,973,06822,459,60226,202,86928,584,94844,919,20452,405,73878,608,607104,811,476157,217,214314,434,428
-1-2-3-4-6-7-11-12-14-21-22-28-33-42-44-66-77-84-132-154-231-308-462-924-340,297-680,594-1,020,891-1,361,188-2,041,782-2,382,079-3,743,267-4,083,564-4,764,158-7,146,237-7,486,534-9,528,316-11,229,801-14,292,474-14,973,068-22,459,602-26,202,869-28,584,948-44,919,204-52,405,738-78,608,607-104,811,476-157,217,214-314,434,428

More Examples

Here are some more numbers to try:

314,434,426314,434,427314,434,429314,434,430
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