Q: What are the factor combinations of the number 352,685,740?

 A:
Positive:   1 x 3526857402 x 1763428704 x 881714355 x 7053714810 x 3526857411 x 3206234017 x 2074622020 x 1763428722 x 1603117034 x 1037311044 x 801558555 x 641246868 x 518655585 x 4149244110 x 3206234170 x 2074622181 x 1948540187 x 1886020220 x 1603117340 x 1037311362 x 974270374 x 943010521 x 676940724 x 487135748 x 471505905 x 389708935 x 3772041042 x 3384701810 x 1948541870 x 1886021991 x 1771402084 x 1692352605 x 1353883077 x 1146203620 x 974273740 x 943013982 x 885705210 x 676945731 x 615406154 x 573107964 x 442858857 x 398209955 x 3542810420 x 3384711462 x 3077012308 x 2865515385 x 2292417714 x 19910
Negative: -1 x -352685740-2 x -176342870-4 x -88171435-5 x -70537148-10 x -35268574-11 x -32062340-17 x -20746220-20 x -17634287-22 x -16031170-34 x -10373110-44 x -8015585-55 x -6412468-68 x -5186555-85 x -4149244-110 x -3206234-170 x -2074622-181 x -1948540-187 x -1886020-220 x -1603117-340 x -1037311-362 x -974270-374 x -943010-521 x -676940-724 x -487135-748 x -471505-905 x -389708-935 x -377204-1042 x -338470-1810 x -194854-1870 x -188602-1991 x -177140-2084 x -169235-2605 x -135388-3077 x -114620-3620 x -97427-3740 x -94301-3982 x -88570-5210 x -67694-5731 x -61540-6154 x -57310-7964 x -44285-8857 x -39820-9955 x -35428-10420 x -33847-11462 x -30770-12308 x -28655-15385 x -22924-17714 x -19910


How do I find the factor combinations of the number 352,685,740?

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 352,685,740, 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.

1 352,685,740
-1 -352,685,740

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 352,685,740.

Example:
1 x 352,685,740 = 352,685,740
and
-1 x -352,685,740 = 352,685,740
Notice both answers equal 352,685,740

With that explanation out of the way, let's continue. Next, we take the number 352,685,740 and divide it by 2:

352,685,740 ÷ 2 = 176,342,870

If the quotient is a whole number, then 2 and 176,342,870 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 2 176,342,870 352,685,740
-1 -2 -176,342,870 -352,685,740

Now, we try dividing 352,685,740 by 3:

352,685,740 ÷ 3 = 117,561,913.3333

If the quotient is a whole number, then 3 and 117,561,913.3333 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 2 176,342,870 352,685,740
-1 -2 -176,342,870 -352,685,740

Let's try dividing by 4:

352,685,740 ÷ 4 = 88,171,435

If the quotient is a whole number, then 4 and 88,171,435 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 4 88,171,435 176,342,870 352,685,740
-1 -2 -4 -88,171,435 -176,342,870 352,685,740
Keep dividing by the next highest number until you cannot divide anymore.

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

1245101117202234445568851101701811872203403623745217247489059351,0421,8101,8701,9912,0842,6053,0773,6203,7403,9825,2105,7316,1547,9648,8579,95510,42011,46212,30815,38517,71419,91022,92428,65530,77033,84735,42839,82044,28557,31061,54067,69488,57094,30197,427114,620135,388169,235177,140188,602194,854338,470377,204389,708471,505487,135676,940943,010974,2701,037,3111,603,1171,886,0201,948,5402,074,6223,206,2344,149,2445,186,5556,412,4688,015,58510,373,11016,031,17017,634,28720,746,22032,062,34035,268,57470,537,14888,171,435176,342,870352,685,740
-1-2-4-5-10-11-17-20-22-34-44-55-68-85-110-170-181-187-220-340-362-374-521-724-748-905-935-1,042-1,810-1,870-1,991-2,084-2,605-3,077-3,620-3,740-3,982-5,210-5,731-6,154-7,964-8,857-9,955-10,420-11,462-12,308-15,385-17,714-19,910-22,924-28,655-30,770-33,847-35,428-39,820-44,285-57,310-61,540-67,694-88,570-94,301-97,427-114,620-135,388-169,235-177,140-188,602-194,854-338,470-377,204-389,708-471,505-487,135-676,940-943,010-974,270-1,037,311-1,603,117-1,886,020-1,948,540-2,074,622-3,206,234-4,149,244-5,186,555-6,412,468-8,015,585-10,373,110-16,031,170-17,634,287-20,746,220-32,062,340-35,268,574-70,537,148-88,171,435-176,342,870-352,685,740

More Examples

Here are some more numbers to try:

352,685,738352,685,739352,685,741352,685,742
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