Q: What are the prime factors of the number 156,866,880?

 A: 2, 3, 5, 163403

Why are those the prime factors of the number 156,866,880?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 156,866,880

156,866,880
Factor Arrows
278,433,440
Factor Arrows
239,216,720
Factor Arrows
219,608,360
Factor Arrows
29,804,180
Factor Arrows
24,902,090
Factor Arrows
22,451,045
Factor Arrows
3817,015
Factor Arrows
5163,403

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 163403

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 163,403 = 156,866,880

This can also be written as 26 x 31 x 51 x 163,4031 = 156,866,880

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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