Q: What are the factor combinations of the number 340,421,004?

 A:
Positive:   1 x 3404210042 x 1702105023 x 1134736684 x 851052516 x 567368347 x 486315729 x 3782455611 x 3094736412 x 2836841714 x 2431578618 x 1891227821 x 1621052422 x 1547368228 x 1215789333 x 1031578836 x 945613942 x 810526244 x 773684163 x 540350866 x 515789477 x 442105284 x 405263199 x 3438596126 x 2701754132 x 2578947154 x 2210526198 x 1719298227 x 1499652231 x 1473684252 x 1350877308 x 1105263396 x 859649454 x 749826462 x 736842541 x 629244681 x 499884693 x 491228908 x 374913924 x 3684211082 x 3146221362 x 2499421386 x 2456141589 x 2142361623 x 2097482043 x 1666282164 x 1573112497 x 1363322724 x 1249712772 x 1228073178 x 1071183246 x 1048743787 x 898924086 x 833144767 x 714124869 x 699164994 x 681665951 x 572046356 x 535596492 x 524377491 x 454447574 x 449468172 x 416579534 x 357069738 x 349589988 x 3408311361 x 2996411902 x 2860214301 x 2380414982 x 2272215148 x 2247317479 x 1947617853 x 19068
Negative: -1 x -340421004-2 x -170210502-3 x -113473668-4 x -85105251-6 x -56736834-7 x -48631572-9 x -37824556-11 x -30947364-12 x -28368417-14 x -24315786-18 x -18912278-21 x -16210524-22 x -15473682-28 x -12157893-33 x -10315788-36 x -9456139-42 x -8105262-44 x -7736841-63 x -5403508-66 x -5157894-77 x -4421052-84 x -4052631-99 x -3438596-126 x -2701754-132 x -2578947-154 x -2210526-198 x -1719298-227 x -1499652-231 x -1473684-252 x -1350877-308 x -1105263-396 x -859649-454 x -749826-462 x -736842-541 x -629244-681 x -499884-693 x -491228-908 x -374913-924 x -368421-1082 x -314622-1362 x -249942-1386 x -245614-1589 x -214236-1623 x -209748-2043 x -166628-2164 x -157311-2497 x -136332-2724 x -124971-2772 x -122807-3178 x -107118-3246 x -104874-3787 x -89892-4086 x -83314-4767 x -71412-4869 x -69916-4994 x -68166-5951 x -57204-6356 x -53559-6492 x -52437-7491 x -45444-7574 x -44946-8172 x -41657-9534 x -35706-9738 x -34958-9988 x -34083-11361 x -29964-11902 x -28602-14301 x -23804-14982 x -22722-15148 x -22473-17479 x -19476-17853 x -19068


How do I find the factor combinations of the number 340,421,004?

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 340,421,004, 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.

1 340,421,004
-1 -340,421,004

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 340,421,004.

Example:
1 x 340,421,004 = 340,421,004
and
-1 x -340,421,004 = 340,421,004
Notice both answers equal 340,421,004

With that explanation out of the way, let's continue. Next, we take the number 340,421,004 and divide it by 2:

340,421,004 ÷ 2 = 170,210,502

If the quotient is a whole number, then 2 and 170,210,502 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 2 170,210,502 340,421,004
-1 -2 -170,210,502 -340,421,004

Now, we try dividing 340,421,004 by 3:

340,421,004 ÷ 3 = 113,473,668

If the quotient is a whole number, then 3 and 113,473,668 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 3 113,473,668 170,210,502 340,421,004
-1 -2 -3 -113,473,668 -170,210,502 -340,421,004

Let's try dividing by 4:

340,421,004 ÷ 4 = 85,105,251

If the quotient is a whole number, then 4 and 85,105,251 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 85,105,251 113,473,668 170,210,502 340,421,004
-1 -2 -3 -4 -85,105,251 -113,473,668 -170,210,502 340,421,004
Keep dividing by the next highest number until you cannot divide anymore.

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

1234679111214182122283336424463667784991261321541982272312523083964544625416816939089241,0821,3621,3861,5891,6232,0432,1642,4972,7242,7723,1783,2463,7874,0864,7674,8694,9945,9516,3566,4927,4917,5748,1729,5349,7389,98811,36111,90214,30114,98215,14817,47917,85319,06819,47622,47322,72223,80428,60229,96434,08334,95835,70641,65744,94645,44452,43753,55957,20468,16669,91671,41283,31489,892104,874107,118122,807124,971136,332157,311166,628209,748214,236245,614249,942314,622368,421374,913491,228499,884629,244736,842749,826859,6491,105,2631,350,8771,473,6841,499,6521,719,2982,210,5262,578,9472,701,7543,438,5964,052,6314,421,0525,157,8945,403,5087,736,8418,105,2629,456,13910,315,78812,157,89315,473,68216,210,52418,912,27824,315,78628,368,41730,947,36437,824,55648,631,57256,736,83485,105,251113,473,668170,210,502340,421,004
-1-2-3-4-6-7-9-11-12-14-18-21-22-28-33-36-42-44-63-66-77-84-99-126-132-154-198-227-231-252-308-396-454-462-541-681-693-908-924-1,082-1,362-1,386-1,589-1,623-2,043-2,164-2,497-2,724-2,772-3,178-3,246-3,787-4,086-4,767-4,869-4,994-5,951-6,356-6,492-7,491-7,574-8,172-9,534-9,738-9,988-11,361-11,902-14,301-14,982-15,148-17,479-17,853-19,068-19,476-22,473-22,722-23,804-28,602-29,964-34,083-34,958-35,706-41,657-44,946-45,444-52,437-53,559-57,204-68,166-69,916-71,412-83,314-89,892-104,874-107,118-122,807-124,971-136,332-157,311-166,628-209,748-214,236-245,614-249,942-314,622-368,421-374,913-491,228-499,884-629,244-736,842-749,826-859,649-1,105,263-1,350,877-1,473,684-1,499,652-1,719,298-2,210,526-2,578,947-2,701,754-3,438,596-4,052,631-4,421,052-5,157,894-5,403,508-7,736,841-8,105,262-9,456,139-10,315,788-12,157,893-15,473,682-16,210,524-18,912,278-24,315,786-28,368,417-30,947,364-37,824,556-48,631,572-56,736,834-85,105,251-113,473,668-170,210,502-340,421,004

More Examples

Here are some more numbers to try:

340,421,002340,421,003340,421,005340,421,006
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