Q: What are the prime factors of the number 537,367,360?

 A: 2, 5, 1679273

Why are those the prime factors of the number 537,367,360?

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 537,367,360

537,367,360
Factor Arrows
2268,683,680
Factor Arrows
2134,341,840
Factor Arrows
267,170,920
Factor Arrows
233,585,460
Factor Arrows
216,792,730
Factor Arrows
28,396,365
Factor Arrows
51,679,273

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, 5, 1679273

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 5 x 1,679,273 = 537,367,360

This can also be written as 26 x 51 x 1,679,2731 = 537,367,360

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


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