Q: What are the factor combinations of the number 355,000,345?

 A:
Positive:   1 x 3550003455 x 710000697 x 5071433535 x 1014286741 x 865854549 x 724490559 x 6016955205 x 1731709245 x 1448981287 x 1236935295 x 1203391413 x 859565599 x 5926551435 x 2473872009 x 1767052065 x 1719132419 x 1467552891 x 1227952995 x 1185314193 x 8466510045 x 3534112095 x 2935114455 x 2455916933 x 20965
Negative: -1 x -355000345-5 x -71000069-7 x -50714335-35 x -10142867-41 x -8658545-49 x -7244905-59 x -6016955-205 x -1731709-245 x -1448981-287 x -1236935-295 x -1203391-413 x -859565-599 x -592655-1435 x -247387-2009 x -176705-2065 x -171913-2419 x -146755-2891 x -122795-2995 x -118531-4193 x -84665-10045 x -35341-12095 x -29351-14455 x -24559-16933 x -20965


How do I find the factor combinations of the number 355,000,345?

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 355,000,345, 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.

1 355,000,345
-1 -355,000,345

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 355,000,345.

Example:
1 x 355,000,345 = 355,000,345
and
-1 x -355,000,345 = 355,000,345
Notice both answers equal 355,000,345

With that explanation out of the way, let's continue. Next, we take the number 355,000,345 and divide it by 2:

355,000,345 ÷ 2 = 177,500,172.5

If the quotient is a whole number, then 2 and 177,500,172.5 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:

1 355,000,345
-1 -355,000,345

Now, we try dividing 355,000,345 by 3:

355,000,345 ÷ 3 = 118,333,448.3333

If the quotient is a whole number, then 3 and 118,333,448.3333 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:

1 355,000,345
-1 -355,000,345

Let's try dividing by 4:

355,000,345 ÷ 4 = 88,750,086.25

If the quotient is a whole number, then 4 and 88,750,086.25 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:

1 355,000,345
-1 355,000,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157354149592052452872954135991,4352,0092,0652,4192,8912,9954,19310,04512,09514,45516,93320,96524,55929,35135,34184,665118,531122,795146,755171,913176,705247,387592,655859,5651,203,3911,236,9351,448,9811,731,7096,016,9557,244,9058,658,54510,142,86750,714,33571,000,069355,000,345
-1-5-7-35-41-49-59-205-245-287-295-413-599-1,435-2,009-2,065-2,419-2,891-2,995-4,193-10,045-12,095-14,455-16,933-20,965-24,559-29,351-35,341-84,665-118,531-122,795-146,755-171,913-176,705-247,387-592,655-859,565-1,203,391-1,236,935-1,448,981-1,731,709-6,016,955-7,244,905-8,658,545-10,142,867-50,714,335-71,000,069-355,000,345

More Examples

Here are some more numbers to try:

355,000,343355,000,344355,000,346355,000,347
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